Will a 450W PSU run...

haha. Right now, sure. But later on, when 7800gt's are rock bottom cheap compared to today and games are using 512mb of vram, you'll want to upgrade your pc. I would be smart and prepare for sli. Better get it now then have to wait till later... you never know.
 
I have almost the exact same stuff as you, except I have a wireless internet USB thing as well, and I run on 400 watt power; seems to work fine.
 
Quite honestly, if you don't plan on getting SLI with this computer or any major power consuming upgrades, you should be fine as I have experienced no problems.
 
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