508872 has 64 divisors (see below), whose sum is σ = 1572480. Its totient is φ = 133632.

The previous prime is 508867. The next prime is 508901. The reversal of 508872 is 278805.

508872 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

508872 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 15 ways as a sum of consecutive naturals, for example, 2068 + ... + 2300.

It is an arithmetic number, because the mean of its divisors is an integer number (24570).

2⁵⁰⁸⁸⁷² is an apocalyptic number.

508872 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 508872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786240).

508872 is an abundant number, since it is smaller than the sum of its proper divisors (1063608).

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

508872 is a wasteful number, since it uses less digits than its factorization.

508872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 508872 is about 713.3526477136. The cubic root of 508872 is about 79.8367504297.

The spelling of 508872 in words is "five hundred eight thousand, eight hundred seventy-two".