404570400 has 144 divisors (see below), whose sum is σ = 1418284224. Its totient is φ = 99578880.

The previous prime is 404570399. The next prime is 404570417. The reversal of 404570400 is 4075404.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24717 + ... + 37683.

It is an arithmetic number, because the mean of its divisors is an integer number (9849196).

Almost surely, 2^404570400 is an apocalyptic number.

404570400 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 404570400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709142112).

404570400 is an abundant number, since it is smaller than the sum of its proper divisors (1013713824).

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

404570400 is a wasteful number, since it uses less digits than its factorization.

404570400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13003 (or 12990 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 24.

The square root of 404570400 is about 20113.9354677298. The cubic root of 404570400 is about 739.6019285853.

The spelling of 404570400 in words is "four hundred four million, five hundred seventy thousand, four hundred".