404573312 has 192 divisors, whose sum is σ = 1020962880. Its totient is φ = 157132800.

The previous prime is 404573303. The next prime is 404573329. The reversal of 404573312 is 213375404.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13050737 + ... + 13050767.

It is an arithmetic number, because the mean of its divisors is an integer number (5317515).

Almost surely, 2^404573312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404573312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510481440).

404573312 is an abundant number, since it is smaller than the sum of its proper divisors (616389568).

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

404573312 is a wasteful number, since it uses less digits than its factorization.

404573312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 29.

The square root of 404573312 is about 20114.0078552237. The cubic root of 404573312 is about 739.6037030731.

The spelling of 404573312 in words is "four hundred four million, five hundred seventy-three thousand, three hundred twelve".