312445952 has 132 divisors (see below), whose sum is σ = 784082880. Its totient is φ = 123346944.

The previous prime is 312445949. The next prime is 312445999. The reversal of 312445952 is 259544213.

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 11 ways as a sum of consecutive naturals, for example, 652049 + ... + 652527.

Almost surely, 2^312445952 is an apocalyptic number.

312445952 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 312445952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392041440).

312445952 is an abundant number, since it is smaller than the sum of its proper divisors (471636928).

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

312445952 is a wasteful number, since it uses less digits than its factorization.

312445952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 501 counting only the distinct ones).

The product of its digits is 43200, while the sum is 35.

The square root of 312445952 is about 17676.1407552667. The cubic root of 312445952 is about 678.5652795348.

The spelling of 312445952 in words is "three hundred twelve million, four hundred forty-five thousand, nine hundred fifty-two".