I am also interested in the topic. I can´t give you the definite answer as I do not have personal experience with all these headphones. Nevertheless, with the intention to shed some light on the subject, I´d like to add some data which might be useful. Hopefully, it will not add further confusion or derail this thread.
DISCLAIMER: All data used in this post are based on following sites:
http://en-de.sennheiser.com/ (official Sennheiser´s site)
hifiman.com (official Hifiman site)
http://www.digizoid.com/headphones-power.html
HD 600 and HD 650 impedance is for both 300 Ohm,
HD 650 should be more efficient headphone than HD 600 because its sound pressure level (SPL) per milliWatt is 103 dB in comparison to 97.0 dB (SPL/mW)- the parameter for HD 600. HE-400i impedance is much lower - at 35 Ohm but on the other side its sensitivity is only at 93.0 dB/mW. However, in regard to overall efficiency, also the headphone sensitivity, given in dB of SPL/mW , is not of less importance.
What does it mean ? Which one is the most overall efficient headphone ?
1) Well, it´s for sure that all three headphones are not the easiest to drive and you should better use them with a proper amplification.
2) The general rule is: headphones with higher impedance ( think of HD 600/650) need more voltage and headphones with lower impedance need more current.
It means that Sennheisers (HD 600/650) will need more voltage and less current than HE-400i
See below for a comparison:
HE-400i (headphone impedance: 35 Ohm, headphone sensitivity: 93.0 dB SPL/mW)
LISTENING LOUDNESS VOLTAGE NEEDED CURRENT NEEDED POWER NEEDED
Safe
| 85 dB SPL
| 0.07 Vrms
| 2 mA
| 0.14 mW
|
Moderate
| 100 dB SPL
| 0.42 Vrms
| 12 mA
| 5.04 mW
|
Fairly Loud
| 110 dB SPL
| 1.32 Vrms
| 37.71 mA
| 49.78 mW
|
Very Loud
| 115 dB SPL
| 2.36 Vrms
| 67.43 mA
| 159.13 mW
|
Painful
| 120 dB SPL
| 4.19 Vrms
| 119.71 mA
| 501.6 mW
|
HD 650 (impedance 300 Ohm, sensitivity: 103 dB SPL/mW
LISTENING LOUDNESS VOLTAGE NEEDED CURRENT NEEDED POWER NEEDED
Safe
| 85 dB SPL
| 0.07 Vrms
| 0.23 mA
| 0.02 mW
|
Moderate
| 100 dB SPL
| 0.39 Vrms
| 1.3 mA
| 0.51 mW
|
Fairly Loud
| 110 dB SPL
| 1.23 Vrms
| 4.1 mA
| 5.04 mW
|
Very Loud
| 115 dB SPL
| 2.18 Vrms
| 7.27 mA
| 15.84 mW
|
Painful
| 120 dB SPL
| 3.88 Vrms
| 12.93 mA
| 50.18 mW
|
HD 600 (impedance: 300 Ohm, sensitivity: 97.0 dB SPL/mW)
LISTENING LOUDNESS VOLTAGE NEEDED CURRENT NEEDED POWER NEEDED
Safe
| 85 dB SPL
| 0.14 Vrms
| 0.47 mA
| 0.07 mW
|
Moderate
| 100 dB SPL
| 0.77 Vrms
| 2.57 mA
| 1.98 mW
|
Fairly Loud
| 110 dB SPL
| 2.45 Vrms
| 8.17 mA
| 20.01 mW
|
Very Loud
| 115 dB SPL
| 4.35 Vrms
| 14.5 mA
| 63.08 mW
|
Painful
| 120 dB SPL
| 7.74 Vrms
| 25.8 mA
| 199.69 mW
|
Based on these numbers, theoretically the easiest to drive headphone out of these, should be Sennheiser HD 650 - it needs the lowest voltage, the lowest amount of current and the lowest power output (voltage x current) to sound desirably loud and (at the same time) sufficiently " well " ( without apparent distortion). However the definite answer should give someone who owns / used to own/ or has had personal experience with both headphones...
Between HD 600 and HE-400i you can notice the latter demanding more power and more current but not demanding as much voltage as HD 600 does. So which one is the more efficient ?
Well, the HE-400i should be a bit easier to drive than HD 600, because it needs much less voltage than HD 600, despite being more current/power hungry. I don´t have HD 600 but I used to own Beyerdynamic DT 990 (250 Ohm, 96.0 SPL/mW) - with pretty similar "efficiency" attributes to HD 600 and indeed look at the numbers:
DT 990 (impedance: 250 Ohm, sensitivity: 96.0 SPL/mW)
LISTENING LOUDNESS VOLTAGE NEEDED CURRENT NEEDED POWER NEEDED
Safe
| 85 dB SPL
| 0.14 Vrms
| 0.56 mA
| 0.08 mW
|
Moderate
| 100 dB SPL
| 0.79 Vrms
| 3.16 mA
| 2.5 mW
|
Fairly Loud
| 110 dB SPL
| 2.51 Vrms
| 10.04 mA
| 25.2 mW
|
Very Loud
| 115 dB SPL
| 4.46 Vrms
| 17.84 mA
| 79.57 mW
|
Painful
| 120 dB SPL
| 7.93 Vrms
| 31.72 mA
| 251.54 mW
|
From my personal experience Hifiman HE-400i was easier to drive than DT 990 on portable device (iBasso DX90) as well as on home desktop device ( laptop + Audioengine D1 as a DAC/headphone amp). With regards to very similar efficiency parameters vs HD 600 I would say, HE-400i should be more efficient headphone than HD 600.
For additional useful info about the subject look at: https://diyaudioheaven.files.wordpress.com/2013/03/headphone-power-and-amplifiers.pdf