404990400 has 168 divisors, whose sum is σ = 1340469760. Its totient is φ = 107043840.

The previous prime is 404990389. The next prime is 404990441. The reversal of 404990400 is 4099404.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 666897 + ... + 667503.

Almost surely, 2^404990400 is an apocalyptic number.

404990400 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 404990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670234880).

404990400 is an abundant number, since it is smaller than the sum of its proper divisors (935479360).

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

404990400 is a wasteful number, since it uses less digits than its factorization.

404990400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 404990400 is about 20124.3732821671. The cubic root of 404990400 is about 739.8577764169.

It can be divided in two parts, 4049 and 90400, that added together give a palindrome (94449).

The spelling of 404990400 in words is "four hundred four million, nine hundred ninety thousand, four hundred".