312490368 has 96 divisors (see below), whose sum is σ = 902687760. Its totient is φ = 103762944.

The previous prime is 312490333. The next prime is 312490369. The reversal of 312490368 is 863094213.

It is a tau number, because it is divible by the number of its divisors (96).

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 (312490369) 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, 560746 + ... + 561302.

Almost surely, 2^312490368 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 312490368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451343880).

312490368 is an abundant number, since it is smaller than the sum of its proper divisors (590197392).

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

312490368 is a wasteful number, since it uses less digits than its factorization.

312490368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1064 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 312490368 is about 17677.3970934637. The cubic root of 312490368 is about 678.5974320050.

The spelling of 312490368 in words is "three hundred twelve million, four hundred ninety thousand, three hundred sixty-eight".