312436992 has 144 divisors (see below), whose sum is σ = 962478720. Its totient is φ = 88129536.

The previous prime is 312436973. The next prime is 312436997. The reversal of 312436992 is 299634213.

It is a self number, because there is not a number n which added to its sum of digits gives 312436992.

It is not an unprimeable number, because it can be changed into a prime (312436997) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 478138 + ... + 478790.

It is an arithmetic number, because the mean of its divisors is an integer number (6683880).

Almost surely, 2^312436992 is an apocalyptic number.

312436992 is a gapful number since it is divisible by the number (32) 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 312436992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481239360).

312436992 is an abundant number, since it is smaller than the sum of its proper divisors (650041728).

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

312436992 is an equidigital number, since it uses as much as digits as its factorization.

312436992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 768 (or 754 counting only the distinct ones).

The product of its digits is 69984, while the sum is 39.

The square root of 312436992 is about 17675.8873044608. The cubic root of 312436992 is about 678.5587930764.

The spelling of 312436992 in words is "three hundred twelve million, four hundred thirty-six thousand, nine hundred ninety-two".