312255504 has 90 divisors (see below), whose sum is σ = 960601278. Its totient is φ = 94617600.

The previous prime is 312255491. The next prime is 312255509. The reversal of 312255504 is 405552213.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 174240000 + 138015504 = 13200^2 + 11748^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (312255509) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 8464 + ... + 26384.

Almost surely, 2^312255504 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 312255504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480300639).

312255504 is an abundant number, since it is smaller than the sum of its proper divisors (648345774).

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

312255504 is a wasteful number, since it uses less digits than its factorization.

312255504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17957 (or 17937 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 312255504 is about 17670.7527853230. The cubic root of 312255504 is about 678.4273808406.

The spelling of 312255504 in words is "three hundred twelve million, two hundred fifty-five thousand, five hundred four".