404832960 has 336 divisors, whose sum is σ = 1631874816. Its totient is φ = 90187776.

The previous prime is 404832941. The next prime is 404832971. The reversal of 404832960 is 69238404.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 866647 + ... + 867113.

Almost surely, 2^404832960 is an apocalyptic number.

404832960 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 404832960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (815937408).

404832960 is an abundant number, since it is smaller than the sum of its proper divisors (1227041856).

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

404832960 is a wasteful number, since it uses less digits than its factorization.

404832960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 404832960 is about 20120.4612273178. The cubic root of 404832960 is about 739.7618907648.

The spelling of 404832960 in words is "four hundred four million, eight hundred thirty-two thousand, nine hundred sixty".