404364312 has 320 divisors, whose sum is σ = 1354890240. Its totient is φ = 111283200.

The previous prime is 404364299. The next prime is 404364343. The reversal of 404364312 is 213463404.

404364312 is a `hidden beast` number, since 4 + 0 + 4 + 3 + 643 + 12 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5695237 + ... + 5695307.

It is an arithmetic number, because the mean of its divisors is an integer number (4234032).

Almost surely, 2^404364312 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 404364312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677445120).

404364312 is an abundant number, since it is smaller than the sum of its proper divisors (950525928).

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

404364312 is a wasteful number, since it uses less digits than its factorization.

404364312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 404364312 is about 20108.8117998056. The cubic root of 404364312 is about 739.4763229462.

The spelling of 404364312 in words is "four hundred four million, three hundred sixty-four thousand, three hundred twelve".