508820 has 48 divisors (see below), whose sum is σ = 1223040. Its totient is φ = 176256.

The previous prime is 508817. The next prime is 508841. The reversal of 508820 is 28805.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4889 + ... + 4991.

It is an arithmetic number, because the mean of its divisors is an integer number (25480).

2⁵⁰⁸⁸²⁰ 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 508820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611520).

508820 is an abundant number, since it is smaller than the sum of its proper divisors (714220).

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

508820 is a wasteful number, since it uses less digits than its factorization.

508820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 23.

The square root of 508820 is about 713.3161991712. The cubic root of 508820 is about 79.8340309164.

The spelling of 508820 in words is "five hundred eight thousand, eight hundred twenty".