313462560 has 96 divisors (see below), whose sum is σ = 990118080. Its totient is φ = 83360768.

The previous prime is 313462559. The next prime is 313462571. The reversal of 313462560 is 65264313.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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, 243679 + ... + 244961.

It is an arithmetic number, because the mean of its divisors is an integer number (10313730).

Almost surely, 2^313462560 is an apocalyptic number.

313462560 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 313462560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495059040).

313462560 is an abundant number, since it is smaller than the sum of its proper divisors (676655520).

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

313462560 is a wasteful number, since it uses less digits than its factorization.

313462560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1810 (or 1802 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 313462560 is about 17704.8739052273. The cubic root of 313462560 is about 679.3004339543.

The spelling of 313462560 in words is "three hundred thirteen million, four hundred sixty-two thousand, five hundred sixty".