456404 has 24 divisors (see below), whose sum is σ = 879648. Its totient is φ = 205920.

The previous prime is 456403. The next prime is 456409. The reversal of 456404 is 404654.

It is a happy number.

It is a super-3 number, since 3×456404³ = 285213173332281792, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 456404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456403) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3419 + ... + 3549.

It is an arithmetic number, because the mean of its divisors is an integer number (36652).

2⁴⁵⁶⁴⁰⁴ is an apocalyptic number.

It is an amenable number.

456404 is a deficient number, since it is larger than the sum of its proper divisors (423244).

456404 is a wasteful number, since it uses less digits than its factorization.

456404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 456404 is about 675.5767906019. The cubic root of 456404 is about 76.9927468290.

The spelling of 456404 in words is "four hundred fifty-six thousand, four hundred four".