312504768 has 84 divisors (see below), whose sum is σ = 901921488. Its totient is φ = 103449600.

The previous prime is 312504767. The next prime is 312504791. The reversal of 312504768 is 867405213.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312504763) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 85180 + ... + 88772.

Almost surely, 2^312504768 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 312504768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450960744).

312504768 is an abundant number, since it is smaller than the sum of its proper divisors (589416720).

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

312504768 is a wasteful number, since it uses less digits than its factorization.

312504768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3762 (or 3749 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 312504768 is about 17677.8043885546. The cubic root of 312504768 is about 678.6078554227.

The spelling of 312504768 in words is "three hundred twelve million, five hundred four thousand, seven hundred sixty-eight".