312348960 has 480 divisors, whose sum is σ = 1378726272. Its totient is φ = 64696320.

The previous prime is 312348941. The next prime is 312348977. The reversal of 312348960 is 69843213.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 997764 + ... + 998076.

Almost surely, 2^312348960 is an apocalyptic number.

312348960 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 312348960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689363136).

312348960 is an abundant number, since it is smaller than the sum of its proper divisors (1066377312).

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

312348960 is a wasteful number, since it uses less digits than its factorization.

312348960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 341 counting only the distinct ones).

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

The square root of 312348960 is about 17673.3969570086. The cubic root of 312348960 is about 678.4950570268.

The spelling of 312348960 in words is "three hundred twelve million, three hundred forty-eight thousand, nine hundred sixty".