404404880 has 80 divisors (see below), whose sum is σ = 1043236800. Its totient is φ = 144545280.

The previous prime is 404404879. The next prime is 404404901. The reversal of 404404880 is 88404404.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48026 + ... + 55814.

It is an arithmetic number, because the mean of its divisors is an integer number (13040460).

Almost surely, 2^404404880 is an apocalyptic number.

404404880 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 404404880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521618400).

404404880 is an abundant number, since it is smaller than the sum of its proper divisors (638831920).

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

404404880 is a wasteful number, since it uses less digits than its factorization.

404404880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7872 (or 7866 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 32.

The square root of 404404880 is about 20109.8204865185. The cubic root of 404404880 is about 739.5010515316.

The spelling of 404404880 in words is "four hundred four million, four hundred four thousand, eight hundred eighty".