404564400 has 180 divisors, whose sum is σ = 1418205360. Its totient is φ = 106790400.

The previous prime is 404564387. The next prime is 404564417. The reversal of 404564400 is 4465404.

It is a tau number, because it is divible by the number of its divisors (180).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 391885 + ... + 392915.

Almost surely, 2^404564400 is an apocalyptic number.

404564400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404564400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709102680).

404564400 is an abundant number, since it is smaller than the sum of its proper divisors (1013640960).

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

404564400 is a wasteful number, since it uses less digits than its factorization.

404564400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1164 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 404564400 is about 20113.7863168524. The cubic root of 404564400 is about 739.5982723337.

The spelling of 404564400 in words is "four hundred four million, five hundred sixty-four thousand, four hundred".