404008880 has 80 divisors (see below), whose sum is σ = 1035496224. Its totient is φ = 145367040.

The previous prime is 404008873. The next prime is 404008897. The reversal of 404008880 is 88800404.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82994 + ... + 87726.

Almost surely, 2^404008880 is an apocalyptic number.

404008880 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 404008880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517748112).

404008880 is an abundant number, since it is smaller than the sum of its proper divisors (631487344).

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

404008880 is a wasteful number, since it uses less digits than its factorization.

404008880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4854 (or 4848 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 32.

The square root of 404008880 is about 20099.9721392842. The cubic root of 404008880 is about 739.2595954494.

The spelling of 404008880 in words is "four hundred four million, eight thousand, eight hundred eighty".