You haven't listed your CPU, I'll assume a 125W model like the FX-8350.
CPU = 125W
R9 280X = 250W
Allow 40W for other components
Total = 415W with one card or 665W with two.
Most of this is on the +12V rail and you don't want to exceed 80% of the rated power.
415 / 0.8 = 519W on the +12V rail with one card
665 / 0.8 = 832W on the +12V rail with two cards
From this, you need a good quality 550W power supply as a minimum if you stick with one card.
This is perfect if you actually have a lower TDP CPU (most Intel CPUs)
If you do have a 125W CPU, consider a 650W supply.
XFX Pro 550 has 528W rating on the +12V rail, very good quality 80 plus bronze rated supply
XFX Pro 650 has 636W rating on the +12V rail, otherwise the same
Seasonic G 550 has 540W rating on the +12V rail, very good quality 80 plus gold rated supply
Seasonic G 650 has 648W rating on the +12V rail, otherwise the same
Cheaper supplies will have lower ratings on the +12V rail, lower efficiency and won't last as long.
Tier 1 or 2 in this list should be good:
http://www.eggxpert.com/forums/thread/323050.aspx
To go with two of these cards and a 125W CPU, an 850W supply would be cutting it fine.
850W is probably reasonable if you have a lower rated CPU.
With the 125W CPU, you would probably want to go a little higher.
Edit:
You've listed the core i5 4670k, which has a TDP of 84W.
This means minimum 468W on the +12V rail with one card (good quality 550W power supply, e.g. XFX Pro 550 or Seasonic G 550), or 780W on the +12V rail with two cards (good quality 850W power supply, e.g. XFX Pro 850 or Seasonic G 850).