You'll likely need to allow a week or so if you plan on driving it all yourself. 500 miles takes 10 hours or so as a rough marker and you can't safely drive for that long 4 days in a row unless you're used to it.
You also need to look at visa's, how border controls work along the route, you run the risk of being harassed by the police in some eastern european countries and in russia.
It's a bad idea on your own, with at least one other person with you it'd still be a big undertaking.