507264 has 32 divisors (see below), whose sum is σ = 1348440. Its totient is φ = 168960.

The previous prime is 507217. The next prime is 507289. The reversal of 507264 is 462705.

507264 = T₁₇ + T₁₈ + ... + T₁₄₄.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 507264.

It is an unprimeable number.

507264 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 277 + ... + 1044.

2⁵⁰⁷²⁶⁴ is an apocalyptic number.

It is an amenable number.

507264 is an abundant number, since it is smaller than the sum of its proper divisors (841176).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

507264 is a wasteful number, since it uses less digits than its factorization.

507264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1338 (or 1326 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 507264 is about 712.2246836498. The cubic root of 507264 is about 79.7525688451.

Adding to 507264 its reverse (462705), we get a palindrome (969969).

The spelling of 507264 in words is "five hundred seven thousand, two hundred sixty-four".