404607312 has 50 divisors (see below), whose sum is σ = 1171054698. Its totient is φ = 134868672.

The previous prime is 404607277. The next prime is 404607317. The reversal of 404607312 is 213706404.

404607312 is a `hidden beast` number, since 40 + 4 + 607 + 3 + 12 = 666.

It can be written as a sum of positive squares in only one way, i.e., 338412816 + 66194496 = 18396^2 + 8136^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404607317) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 154803 + ... + 157394.

Almost surely, 2^404607312 is an apocalyptic number.

It is an amenable number.

404607312 is an abundant number, since it is smaller than the sum of its proper divisors (766447386).

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

404607312 is a wasteful number, since it uses less digits than its factorization.

404607312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312217 (or 312202 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 404607312 is about 20114.8530195972. The cubic root of 404607312 is about 739.6244210499.

The spelling of 404607312 in words is "four hundred four million, six hundred seven thousand, three hundred twelve".