404812400 has 30 divisors (see below), whose sum is σ = 972562752. Its totient is φ = 161924800.

The previous prime is 404812399. The next prime is 404812417. The reversal of 404812400 is 4218404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 505616 + ... + 506415.

Almost surely, 2^404812400 is an apocalyptic number.

404812400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404812400 is an abundant number, since it is smaller than the sum of its proper divisors (567750352).

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

404812400 is a wasteful number, since it uses less digits than its factorization.

404812400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012049 (or 1012038 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

The square root of 404812400 is about 20119.9502981493. The cubic root of 404812400 is about 739.7493672769.

The spelling of 404812400 in words is "four hundred four million, eight hundred twelve thousand, four hundred".