509264 has 20 divisors (see below), whose sum is σ = 1127904. Its totient is φ = 218208.

The previous prime is 509263. The next prime is 509281. The reversal of 509264 is 462905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509263) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2162 + ... + 2385.

2⁵⁰⁹²⁶⁴ is an apocalyptic number.

It is an amenable number.

509264 is an abundant number, since it is smaller than the sum of its proper divisors (618640).

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

509264 is a wasteful number, since it uses less digits than its factorization.

509264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4562 (or 4556 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 509264 is about 713.6273537358. The cubic root of 509264 is about 79.8572454156.

The spelling of 509264 in words is "five hundred nine thousand, two hundred sixty-four".