Prague, the capital of the Czech Republic, is a beautiful city with medieval roots, and plenty of breathtaking architecture ranging from gothic, renaissance, baroque right to cubistic and modern. It has outstanding public transport and the cost of living is typically much less than in other western cities. Students are eligible for accommodation in student housing provided by the university which, while rather spartan, is reasonably priced. Given a modest lifestyle, 600 EUR should be enough to cover all your montly expenses.
See also the website studyinprague.cz which has plenty of useful practical information.