312492960 has 144 divisors (see below), whose sum is σ = 1148480424. Its totient is φ = 76916736.

The previous prime is 312492959. The next prime is 312492977. The reversal of 312492960 is 69294213.

It can be written as a sum of positive squares in 4 ways, for example, as 116380944 + 196112016 = 10788^2 + 14004^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10374 + ... + 27066.

Almost surely, 2^312492960 is an apocalyptic number.

312492960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312492960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574240212).

312492960 is an abundant number, since it is smaller than the sum of its proper divisors (835987464).

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

312492960 is a wasteful number, since it uses less digits than its factorization.

312492960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16727 (or 16716 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 312492960 is about 17677.4704072726. The cubic root of 312492960 is about 678.5993082438.

The spelling of 312492960 in words is "three hundred twelve million, four hundred ninety-two thousand, nine hundred sixty".