404631840 has 192 divisors, whose sum is σ = 1337720832. Its totient is φ = 102681600.

The previous prime is 404631817. The next prime is 404631863. The reversal of 404631840 is 48136404.

It is an interprime number because it is at equal distance from previous prime (404631817) and next prime (404631863).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 404631798 and 404631807.

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, 1056289 + ... + 1056671.

It is an arithmetic number, because the mean of its divisors is an integer number (6967296).

Almost surely, 2^404631840 is an apocalyptic number.

404631840 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 404631840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668860416).

404631840 is an abundant number, since it is smaller than the sum of its proper divisors (933088992).

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

404631840 is a wasteful number, since it uses less digits than its factorization.

404631840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 404631840 is about 20115.4627090704. The cubic root of 404631840 is about 739.6393665215.

The spelling of 404631840 in words is "four hundred four million, six hundred thirty-one thousand, eight hundred forty".