313054560 has 288 divisors, whose sum is σ = 1315379520. Its totient is φ = 66023424.

The previous prime is 313054529. The next prime is 313054561. The reversal of 313054560 is 65450313.

313054560 is a `hidden beast` number, since 31 + 30 + 545 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313054561) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 129846 + ... + 132234.

It is an arithmetic number, because the mean of its divisors is an integer number (4567290).

Almost surely, 2^313054560 is an apocalyptic number.

313054560 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 313054560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657689760).

313054560 is an abundant number, since it is smaller than the sum of its proper divisors (1002324960).

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

313054560 is a wasteful number, since it uses less digits than its factorization.

313054560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2430 (or 2419 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 313054560 is about 17693.3479025311. The cubic root of 313054560 is about 679.0055822487.

The spelling of 313054560 in words is "three hundred thirteen million, fifty-four thousand, five hundred sixty".