404852400 has 90 divisors (see below), whose sum is σ = 1404962780. Its totient is φ = 107959680.

The previous prime is 404852387. The next prime is 404852411. The reversal of 404852400 is 4258404.

It is a tau number, because it is divible by the number of its divisors (90).

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 17 ways as a sum of consecutive naturals, for example, 52630 + ... + 59829.

Almost surely, 2^404852400 is an apocalyptic number.

404852400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404852400 is an abundant number, since it is smaller than the sum of its proper divisors (1000110380).

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

404852400 is a wasteful number, since it uses less digits than its factorization.

404852400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112483 (or 112469 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 404852400 is about 20120.9443118359. The cubic root of 404852400 is about 739.7737316493.

The spelling of 404852400 in words is "four hundred four million, eight hundred fifty-two thousand, four hundred".