312944880 has 80 divisors (see below), whose sum is σ = 972285984. Its totient is φ = 83266560.

The previous prime is 312944869. The next prime is 312944881. The reversal of 312944880 is 88449213.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312944881) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 132510 + ... + 134850.

Almost surely, 2^312944880 is an apocalyptic number.

312944880 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 312944880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486142992).

312944880 is an abundant number, since it is smaller than the sum of its proper divisors (659341104).

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

312944880 is a wasteful number, since it uses less digits than its factorization.

312944880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2914 (or 2908 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 312944880 is about 17690.2481610632. The cubic root of 312944880 is about 678.9262754858.

The spelling of 312944880 in words is "three hundred twelve million, nine hundred forty-four thousand, eight hundred eighty".