313466960 has 80 divisors (see below), whose sum is σ = 754947216. Its totient is φ = 120950784.

The previous prime is 313466957. The next prime is 313466981. The reversal of 313466960 is 69664313.

It can be written as a sum of positive squares in 8 ways, for example, as 1308736 + 312158224 = 1144^2 + 17668^2 .

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

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 405134 + ... + 405906.

Almost surely, 2^313466960 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 313466960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377473608).

313466960 is an abundant number, since it is smaller than the sum of its proper divisors (441480256).

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

313466960 is a wasteful number, since it uses less digits than its factorization.

313466960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960 (or 954 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 38.

The square root of 313466960 is about 17704.9981643603. The cubic root of 313466960 is about 679.3036123327.

The spelling of 313466960 in words is "three hundred thirteen million, four hundred sixty-six thousand, nine hundred sixty".