A 600W power supply is recommended for a pc with a 280x in it.
If your psu is one of -
OCZ
EliteXStream series
EvoXStream series
Fatal1ty series (Last gen 80+ models)
GameXStream series (less than 1000 Watts, if manufactured from December 2007 or later)
ModXStream series (Again, if manufactured from December 2007 or later)
ProXStream
StealthXStream (400 Watt only)
StealthXStream MK2 (greater than 700 Watts)
ZT / ZS series (less than 1000 Watts)
ZX 850 Watts
Powerstream series
StealthXStream (Less than 700 Watts, if manufactured from December 2007 or older)
Then it should be OK.
If not, then get a Seasonic 620, XFX 650 or Antec HCG 620M