404400800 has 36 divisors (see below), whose sum is σ = 987245406. Its totient is φ = 161760000.

The previous prime is 404400793. The next prime is 404400803. The reversal of 404400800 is 8004404.

It can be written as a sum of positive squares in 3 ways, for example, as 362978704 + 41422096 = 19052^2 + 6436^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (404400803) by changing a digit.

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, 251951 + ... + 253550.

Almost surely, 2^404400800 is an apocalyptic number.

404400800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404400800 is an abundant number, since it is smaller than the sum of its proper divisors (582844606).

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

404400800 is a wasteful number, since it uses less digits than its factorization.

404400800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505521 (or 505508 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 404400800 is about 20109.7190432885. The cubic root of 404400800 is about 739.4985646061.

The spelling of 404400800 in words is "four hundred four million, four hundred thousand, eight hundred".