404765880 has 128 divisors (see below), whose sum is σ = 1269734400. Its totient is φ = 103122432.

The previous prime is 404765857. The next prime is 404765897. The reversal of 404765880 is 88567404.

It is a super-2 number, since 2×404765880² = 327670835224348800, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 241686 + ... + 243354.

It is an arithmetic number, because the mean of its divisors is an integer number (9919800).

Almost surely, 2^404765880 is an apocalyptic number.

404765880 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 404765880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634867200).

404765880 is an abundant number, since it is smaller than the sum of its proper divisors (864968520).

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

404765880 is a wasteful number, since it uses less digits than its factorization.

404765880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1773 (or 1769 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The square root of 404765880 is about 20118.7941984603. The cubic root of 404765880 is about 739.7210294931.

The spelling of 404765880 in words is "four hundred four million, seven hundred sixty-five thousand, eight hundred eighty".