Yeah I'd recommend the ps4 for that price. You can't build a worthwhile PC for that price. Speaking as someone that built a $400 PC in 2008 for the purpose of gaming. It's horrible at everything else and I regret it.
He who stumbles around in darkness with a stick is blind. But he who... sticks out in darkness... is... fluorescent! - Brother Silence
why don't you lower you expectations with that meager budget. $400 will likely get 720 or 900p at med to high settings for those games. Also expect to cut some extreme corners. like finding a 15 dollar case and $25 on the psu. It could be done if you can get to a microcenter.
FX 8320 | XFX 7970| 8GB | GA-78LMT-USB3 | EVO 250GB | 3TB | HX620 | Carbide 200r
Keep an eye on newegg. There are some DIY kits on the shell shocker daily deals that aren't terrible. There was an A10 build for like $300 on there the other day. Sure, it's not the best, but there's room to upgrade as well. And it wouldn't make a bad media center PC or steambox either.
London-SV on Throttle Control in Gran Turismo 6 ~ ''Unless you're flooring it at every opportunity... Try to be a little more genital on the accelerator''