404688960 has 280 divisors, whose sum is σ = 1551575256. Its totient is φ = 99532800.

The previous prime is 404688937. The next prime is 404689001. The reversal of 404688960 is 69886404.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 23970816 + 380718144 = 4896^2 + 19512^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 336360 + ... + 337560.

Almost surely, 2^404688960 is an apocalyptic number.

404688960 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 404688960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (775787628).

404688960 is an abundant number, since it is smaller than the sum of its proper divisors (1146886296).

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

404688960 is a wasteful number, since it uses less digits than its factorization.

404688960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1243 (or 1224 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 404688960 is about 20116.8824622505. The cubic root of 404688960 is about 739.6741687034.

The spelling of 404688960 in words is "four hundred four million, six hundred eighty-eight thousand, nine hundred sixty".