404808880 has 80 divisors (see below), whose sum is σ = 1100715264. Its totient is φ = 135555840.

The previous prime is 404808869. The next prime is 404808917. The reversal of 404808880 is 88808404.

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

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 15675 + ... + 32485.

Almost surely, 2^404808880 is an apocalyptic number.

404808880 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 404808880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550357632).

404808880 is an abundant number, since it is smaller than the sum of its proper divisors (695906384).

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

404808880 is a wasteful number, since it uses less digits than its factorization.

404808880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16874 (or 16868 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 40.

The square root of 404808880 is about 20119.8628225940. The cubic root of 404808880 is about 739.7472231353.

The spelling of 404808880 in words is "four hundred four million, eight hundred eight thousand, eight hundred eighty".