404482400 has 72 divisors (see below), whose sum is σ = 1128521520. Its totient is φ = 138677760.

The previous prime is 404482391. The next prime is 404482453. The reversal of 404482400 is 4284404.

It is a self number, because there is not a number n which added to its sum of digits gives 404482400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30515 + ... + 41714.

It is an arithmetic number, because the mean of its divisors is an integer number (15673910).

Almost surely, 2^404482400 is an apocalyptic number.

404482400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404482400 is an abundant number, since it is smaller than the sum of its proper divisors (724039120).

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

404482400 is a wasteful number, since it uses less digits than its factorization.

404482400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72256 (or 72243 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 26.

The square root of 404482400 is about 20111.7478106703. The cubic root of 404482400 is about 739.5482999385.

The spelling of 404482400 in words is "four hundred four million, four hundred eighty-two thousand, four hundred".