404516880 has 60 divisors (see below), whose sum is σ = 1358504940. Its totient is φ = 107870976.

The previous prime is 404516843. The next prime is 404516927. The reversal of 404516880 is 88615404.

It can be written as a sum of positive squares in 2 ways, for example, as 148644864 + 255872016 = 12192^2 + 15996^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 280195 + ... + 281634.

It is an arithmetic number, because the mean of its divisors is an integer number (22641749).

Almost surely, 2^404516880 is an apocalyptic number.

404516880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404516880 is an abundant number, since it is smaller than the sum of its proper divisors (953988060).

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

404516880 is a wasteful number, since it uses less digits than its factorization.

404516880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561848 (or 561839 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 404516880 is about 20112.6050028334. The cubic root of 404516880 is about 739.5693135441.

The spelling of 404516880 in words is "four hundred four million, five hundred sixteen thousand, eight hundred eighty".