400904 has 16 divisors (see below), whose sum is σ = 859200. Its totient is φ = 171792.

The previous prime is 400903. The next prime is 400927. The reversal of 400904 is 409004.

It is not an unprimeable number, because it can be changed into a prime (400903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3524 + ... + 3635.

It is an arithmetic number, because the mean of its divisors is an integer number (53700).

2⁴⁰⁰⁹⁰⁴ is an apocalyptic number.

It is an amenable number.

400904 is an abundant number, since it is smaller than the sum of its proper divisors (458296).

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

400904 is a wasteful number, since it uses less digits than its factorization.

400904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7172 (or 7168 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 400904 is about 633.1698034493. The cubic root of 400904 is about 73.7360942852.

Adding to 400904 its reverse (409004), we get a palindrome (809908).

Subtracting 400904 from its reverse (409004), we obtain a square (8100 = 90²).

The spelling of 400904 in words is "four hundred thousand, nine hundred four".