312920480 has 48 divisors (see below), whose sum is σ = 753243624. Its totient is φ = 122803200.

The previous prime is 312920477. The next prime is 312920521. The reversal of 312920480 is 84029213.

It can be written as a sum of positive squares in 4 ways, for example, as 191656336 + 121264144 = 13844^2 + 11012^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9971 + ... + 26930.

Almost surely, 2^312920480 is an apocalyptic number.

It is an amenable number.

312920480 is an abundant number, since it is smaller than the sum of its proper divisors (440323144).

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

312920480 is a wasteful number, since it uses less digits than its factorization.

312920480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36969 (or 36961 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 312920480 is about 17689.5585021221. The cubic root of 312920480 is about 678.9086299591.

Adding to 312920480 its reverse (84029213), we get a palindrome (396949693).

The spelling of 312920480 in words is "three hundred twelve million, nine hundred twenty thousand, four hundred eighty".