312892480 has 112 divisors (see below), whose sum is σ = 797448240. Its totient is φ = 116523008.

The previous prime is 312892477. The next prime is 312892499. The reversal of 312892480 is 84298213.

312892480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 2005056 + 310887424 = 1416^2 + 17632^2 .

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 614466 + ... + 614974.

Almost surely, 2^312892480 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 312892480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398724120).

312892480 is an abundant number, since it is smaller than the sum of its proper divisors (484555760).

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

312892480 is a wasteful number, since it uses less digits than its factorization.

312892480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The square root of 312892480 is about 17688.7670570902. The cubic root of 312892480 is about 678.8883798638. Note that the first 3 decimals are identical.

The spelling of 312892480 in words is "three hundred twelve million, eight hundred ninety-two thousand, four hundred eighty".