407904 has 48 divisors (see below), whose sum is σ = 1225728. Its totient is φ = 116352.

The previous prime is 407899. The next prime is 407917. The reversal of 407904 is 409704.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 369 + ... + 975.

It is an arithmetic number, because the mean of its divisors is an integer number (25536).

2⁴⁰⁷⁹⁰⁴ 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 407904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612864).

407904 is an abundant number, since it is smaller than the sum of its proper divisors (817824).

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

407904 is a wasteful number, since it uses less digits than its factorization.

407904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 407904 is about 638.6736255710. The cubic root of 407904 is about 74.1627777843.

The spelling of 407904 in words is "four hundred seven thousand, nine hundred four".