508408 has 16 divisors (see below), whose sum is σ = 964080. Its totient is φ = 251328.

The previous prime is 508393. The next prime is 508433. The reversal of 508408 is 804805.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

508408 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 516 + ... + 1132.

It is an arithmetic number, because the mean of its divisors is an integer number (60255).

2⁵⁰⁸⁴⁰⁸ is an apocalyptic number.

508408 is the 412-nd octagonal number.

It is an amenable number.

508408 is a deficient number, since it is larger than the sum of its proper divisors (455672).

508408 is a wasteful number, since it uses less digits than its factorization.

508408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

The square root of 508408 is about 713.0273487041. The cubic root of 508408 is about 79.8124774513.

The spelling of 508408 in words is "five hundred eight thousand, four hundred eight".