312264264 has 32 divisors (see below), whose sum is σ = 840712320. Its totient is φ = 96081216.

The previous prime is 312264229. The next prime is 312264269. The reversal of 312264264 is 462462213.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (312264269) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 500112 + ... + 500735.

It is an arithmetic number, because the mean of its divisors is an integer number (26272260).

Almost surely, 2^312264264 is an apocalyptic number.

It is an amenable number.

312264264 is an abundant number, since it is smaller than the sum of its proper divisors (528448056).

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

312264264 is a wasteful number, since it uses less digits than its factorization.

312264264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1000869 (or 1000865 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

The square root of 312264264 is about 17671.0006507838. Note that the first 3 decimals coincide. The cubic root of 312264264 is about 678.4337249703.

The spelling of 312264264 in words is "three hundred twelve million, two hundred sixty-four thousand, two hundred sixty-four".