404107920 has 160 divisors (see below), whose sum is σ = 1415207040. Its totient is φ = 105960960.

The previous prime is 404107877. The next prime is 404107943. The reversal of 404107920 is 29701404.

It is a happy number.

It is a super-2 number, since 2×404107920² = 326606422013452800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 130227 + ... + 133293.

It is an arithmetic number, because the mean of its divisors is an integer number (8845044).

Almost surely, 2^404107920 is an apocalyptic number.

404107920 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 404107920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707603520).

404107920 is an abundant number, since it is smaller than the sum of its proper divisors (1011099120).

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

404107920 is a wasteful number, since it uses less digits than its factorization.

404107920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3150 (or 3138 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 404107920 is about 20102.4356733208. The cubic root of 404107920 is about 739.3199986501.

The spelling of 404107920 in words is "four hundred four million, one hundred seven thousand, nine hundred twenty".