The PlayStation 4 is launching this November in the West. It won't be out in Japan until 2014.
The console is launching in Japan on February 22, 2014.
The console is priced at 41,979 yen (with tax), which is $420. The PlayStation 4 bundled with the PlayStation Camera is 46,179 yen (with tax) or $460.
Sony has a special launch bundle for Japan called the PlayStation 4 First Limited Pack. Priced the same as the other consoles, it comes with Knack, free of charge.
According to Sony, the reason for the later launch is that Sony wants more time to have more "content" (games, probably) ready for the Japanese market at launch.
With the Xbox One also not launching in Japan this year, Sony has no reason to rush.