312424992 has 192 divisors, whose sum is σ = 1010257920. Its totient is φ = 93139200.

The previous prime is 312424969. The next prime is 312425039. The reversal of 312424992 is 299424213.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 674553 + ... + 675015.

It is an arithmetic number, because the mean of its divisors is an integer number (5261760).

Almost surely, 2^312424992 is an apocalyptic number.

312424992 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 312424992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505128960).

312424992 is an abundant number, since it is smaller than the sum of its proper divisors (697832928).

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

312424992 is a wasteful number, since it uses less digits than its factorization.

312424992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 550 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 312424992 is about 17675.5478557243. The cubic root of 312424992 is about 678.5501056611.

The spelling of 312424992 in words is "three hundred twelve million, four hundred twenty-four thousand, nine hundred ninety-two".