408920904 has 48 divisors (see below), whose sum is σ = 1265709120. Its totient is φ = 116834400.

The previous prime is 408920893. The next prime is 408920923. The reversal of 408920904 is 409029804.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 405172 + ... + 406179.

It is an arithmetic number, because the mean of its divisors is an integer number (26368940).

Almost surely, 2^408920904 is an apocalyptic number.

It is an amenable number.

408920904 is an abundant number, since it is smaller than the sum of its proper divisors (856788216).

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

408920904 is a wasteful number, since it uses less digits than its factorization.

408920904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 811370 (or 811363 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 408920904 is about 20221.7927988594. The cubic root of 408920904 is about 742.2435586885.

Subtracting 408920904 from its reverse (409029804), we obtain a square (108900 = 330²).

The spelling of 408920904 in words is "four hundred eight million, nine hundred twenty thousand, nine hundred four".