407604 has 12 divisors (see below), whose sum is σ = 951104. Its totient is φ = 135864.

The previous prime is 407599. The next prime is 407621. The reversal of 407604 is 406704.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×407604² = 332282041632, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16972 + ... + 16995.

2⁴⁰⁷⁶⁰⁴ is an apocalyptic number.

It is an amenable number.

407604 is an abundant number, since it is smaller than the sum of its proper divisors (543500).

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

407604 is a wasteful number, since it uses less digits than its factorization.

407604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33974 (or 33972 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 407604 is about 638.4387206303. The cubic root of 407604 is about 74.1445918958.

Subtracting from 407604 its reverse (406704), we obtain a square (900 = 30²).

The spelling of 407604 in words is "four hundred seven thousand, six hundred four".