508008 has 32 divisors (see below), whose sum is σ = 1294560. Its totient is φ = 166080.

The previous prime is 507979. The next prime is 508009. The reversal of 508008 is 800805.

It is not an unprimeable number, because it can be changed into a prime (508009) by changing a digit.

508008 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 7 ways as a sum of consecutive naturals, for example, 1291 + ... + 1637.

It is an arithmetic number, because the mean of its divisors is an integer number (40455).

2⁵⁰⁸⁰⁰⁸ 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 508008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647280).

508008 is an abundant number, since it is smaller than the sum of its proper divisors (786552).

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

508008 is a wasteful number, since it uses less digits than its factorization.

508008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 508008 is about 712.7467993615. The cubic root of 508008 is about 79.7915406137.

The spelling of 508008 in words is "five hundred eight thousand, eight".