404164400 has 30 divisors (see below), whose sum is σ = 971005932. Its totient is φ = 161665600.

The previous prime is 404164373. The next prime is 404164451. The reversal of 404164400 is 4461404.

404164400 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 504806 + ... + 505605.

Almost surely, 2^404164400 is an apocalyptic number.

404164400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404164400 is an abundant number, since it is smaller than the sum of its proper divisors (566841532).

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

404164400 is a wasteful number, since it uses less digits than its factorization.

404164400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010429 (or 1010418 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 404164400 is about 20103.8404291319. The cubic root of 404164400 is about 739.3544406446.

The spelling of 404164400 in words is "four hundred four million, one hundred sixty-four thousand, four hundred".