312881264 has 40 divisors (see below), whose sum is σ = 630816768. Its totient is φ = 150171840.

The previous prime is 312881263. The next prime is 312881269. The reversal of 312881264 is 462188213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312881263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60509 + ... + 65475.

Almost surely, 2^312881264 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 312881264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315408384).

312881264 is an abundant number, since it is smaller than the sum of its proper divisors (317935504).

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

312881264 is a wasteful number, since it uses less digits than its factorization.

312881264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5133 (or 5127 counting only the distinct ones).

The product of its digits is 18432, while the sum is 35.

The square root of 312881264 is about 17688.4500168896. The cubic root of 312881264 is about 678.8802679153.

The spelling of 312881264 in words is "three hundred twelve million, eight hundred eighty-one thousand, two hundred sixty-four".