According to the 2018 review organized by the All India Status of Higher Education (AISHE) report, the total number of colleges in top metropolitan cities of India are as follows:

Bengaluru: 1025 colleges
Jaipur: 635 colleges
Hyderabad: 487 colleges

So, answering your question, as of 2018, there are 487 colleges in Hyderabad. Hope I have answered your question. All the best!