These PC specs okay for gaming?

I'm able to play games like GTA IV at a constant rate at 25 FPS. I rarely see lag but it seems to lag a little tiny bit when I look around. However, I'm not sure if it does lag. I also run Left 4 Dead 2 at 60 fps at a constant rate on high texture settings. I forgot to mention GTA IV is on the highest texture, reflection, and water settings. Shadows are off. Minecraft runs at 50 fps. This PC came cheap, around $450. I was looking for budget PC's when I found it.

Tell me what you think;

Specs;
Intel HD 4400
Intel Core i3 4030u 1.9 GHz
6 gb RAM

It kinda sucks. But it's good for a budget pc. However, you can get a Way better budget desktop for that much money.