404480880 has 120 divisors (see below), whose sum is σ = 1363229712. Its totient is φ = 107476992.

The previous prime is 404480851. The next prime is 404480957. The reversal of 404480880 is 88084404.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 241807 + ... + 243473.

Almost surely, 2^404480880 is an apocalyptic number.

404480880 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 404480880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681614856).

404480880 is an abundant number, since it is smaller than the sum of its proper divisors (958748832).

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

404480880 is a wasteful number, since it uses less digits than its factorization.

404480880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2023 (or 2014 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 404480880 is about 20111.7100217759. The cubic root of 404480880 is about 739.5473735572.

The spelling of 404480880 in words is "four hundred four million, four hundred eighty thousand, eight hundred eighty".