404555904 has 256 divisors, whose sum is σ = 1290096000. Its totient is φ = 124416000.

The previous prime is 404555869. The next prime is 404555917. The reversal of 404555904 is 409555404.

It is a super-2 number, since 2×404555904² = 327330958922514432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4005454 + ... + 4005554.

Almost surely, 2^404555904 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 404555904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645048000).

404555904 is an abundant number, since it is smaller than the sum of its proper divisors (885540096).

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

404555904 is a wasteful number, since it uses less digits than its factorization.

404555904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 404555904 is about 20113.5751173182. The cubic root of 404555904 is about 739.5930950196.

The spelling of 404555904 in words is "four hundred four million, five hundred fifty-five thousand, nine hundred four".