312792480 has 864 divisors, whose sum is σ = 1505806848. Its totient is φ = 58060800.

The previous prime is 312792457. The next prime is 312792523. The reversal of 312792480 is 84297213.

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 143 ways as a sum of consecutive naturals, for example, 10090065 + ... + 10090095.

It is an arithmetic number, because the mean of its divisors is an integer number (1742832).

Almost surely, 2^312792480 is an apocalyptic number.

312792480 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 312792480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752903424).

312792480 is an abundant number, since it is smaller than the sum of its proper divisors (1193014368).

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

312792480 is a wasteful number, since it uses less digits than its factorization.

312792480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 312792480 is about 17685.9401785712. The cubic root of 312792480 is about 678.8160482312.

The spelling of 312792480 in words is "three hundred twelve million, seven hundred ninety-two thousand, four hundred eighty".