312252544 has 64 divisors (see below), whose sum is σ = 638928000. Its totient is φ = 151954432.

The previous prime is 312252527. The next prime is 312252547. The reversal of 312252544 is 445252213.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (312252547) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1306377 + ... + 1306615.

It is an arithmetic number, because the mean of its divisors is an integer number (9983250).

Almost surely, 2^312252544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312252544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319464000).

312252544 is an abundant number, since it is smaller than the sum of its proper divisors (326675456).

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

312252544 is a wasteful number, since it uses less digits than its factorization.

312252544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 473 counting only the distinct ones).

The product of its digits is 9600, while the sum is 28.

The square root of 312252544 is about 17670.6690309111. The cubic root of 312252544 is about 678.4252371352.

The spelling of 312252544 in words is "three hundred twelve million, two hundred fifty-two thousand, five hundred forty-four".