508576 has 24 divisors (see below), whose sum is σ = 1046304. Its totient is φ = 242880.

The previous prime is 508567. The next prime is 508577. The reversal of 508576 is 675805.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (508577) 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, 391 + ... + 1081.

It is an arithmetic number, because the mean of its divisors is an integer number (43596).

2⁵⁰⁸⁵⁷⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 508576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523152).

508576 is an abundant number, since it is smaller than the sum of its proper divisors (537728).

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

508576 is a wasteful number, since it uses less digits than its factorization.

508576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 31.

The square root of 508576 is about 713.1451465165. The cubic root of 508576 is about 79.8212676484.

The spelling of 508576 in words is "five hundred eight thousand, five hundred seventy-six".