404981808 has 320 divisors, whose sum is σ = 1409433600. Its totient is φ = 97044480.

The previous prime is 404981777. The next prime is 404981831. The reversal of 404981808 is 808189404.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 404981808.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5126313 + ... + 5126391.

It is an arithmetic number, because the mean of its divisors is an integer number (4404480).

Almost surely, 2^404981808 is an apocalyptic number.

404981808 is a gapful number since it is divisible by the number (48) 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 404981808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704716800).

404981808 is an abundant number, since it is smaller than the sum of its proper divisors (1004451792).

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

404981808 is a wasteful number, since it uses less digits than its factorization.

404981808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 42.

The square root of 404981808 is about 20124.1598085485. The cubic root of 404981808 is about 739.8525442740.

The spelling of 404981808 in words is "four hundred four million, nine hundred eighty-one thousand, eight hundred eight".