312609456 has 150 divisors (see below), whose sum is σ = 938635236. Its totient is φ = 100440000.

The previous prime is 312609449. The next prime is 312609463. The reversal of 312609456 is 654906213.

It is a happy number.

312609456 is a `hidden beast` number, since 3 + 1 + 2 + 609 + 45 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (312609449) and next prime (312609463).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 312609456.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1245331 + ... + 1245581.

Almost surely, 2^312609456 is an apocalyptic number.

312609456 is a gapful number since it is divisible by the number (36) 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 312609456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469317618).

312609456 is an abundant number, since it is smaller than the sum of its proper divisors (626025780).

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

312609456 is a wasteful number, since it uses less digits than its factorization.

312609456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 312609456 is about 17680.7651418144. The cubic root of 312609456 is about 678.6836240455.

The spelling of 312609456 in words is "three hundred twelve million, six hundred nine thousand, four hundred fifty-six".