509604 has 12 divisors (see below), whose sum is σ = 1189104. Its totient is φ = 169864.

The previous prime is 509603. The next prime is 509623. The reversal of 509604 is 406905.

It is a tau number, because it is divible by the number of its divisors (12).

It is not an unprimeable number, because it can be changed into a prime (509603) 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, 21222 + ... + 21245.

It is an arithmetic number, because the mean of its divisors is an integer number (99092).

2⁵⁰⁹⁶⁰⁴ is an apocalyptic number.

It is an amenable number.

509604 is an abundant number, since it is smaller than the sum of its proper divisors (679500).

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

509604 is a wasteful number, since it uses less digits than its factorization.

509604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42474 (or 42472 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 509604 is about 713.8655335566. The cubic root of 509604 is about 79.8750131637.

The spelling of 509604 in words is "five hundred nine thousand, six hundred four".