408904 has 16 divisors (see below), whose sum is σ = 777600. Its totient is φ = 201552.

The previous prime is 408869. The next prime is 408911. The reversal of 408904 is 409804.

It is an Ulam number.

It is an unprimeable number.

408904 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 3 ways as a sum of consecutive naturals, for example, 309 + ... + 955.

It is an arithmetic number, because the mean of its divisors is an integer number (48600).

2⁴⁰⁸⁹⁰⁴ is an apocalyptic number.

It is an amenable number.

408904 is a deficient number, since it is larger than the sum of its proper divisors (368696).

408904 is a wasteful number, since it uses less digits than its factorization.

408904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732 (or 728 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 408904 is about 639.4560188160. The cubic root of 408904 is about 74.2233330909.

Subtracting 408904 from its reverse (409804), we obtain a square (900 = 30²).

The spelling of 408904 in words is "four hundred eight thousand, nine hundred four".