313048560 has 240 divisors, whose sum is σ = 1128677760. Its totient is φ = 70986240.

The previous prime is 313048559. The next prime is 313048573. The reversal of 313048560 is 65840313.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3962601 + ... + 3962679.

It is an arithmetic number, because the mean of its divisors is an integer number (4702824).

Almost surely, 2^313048560 is an apocalyptic number.

313048560 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 313048560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564338880).

313048560 is an abundant number, since it is smaller than the sum of its proper divisors (815629200).

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

313048560 is a wasteful number, since it uses less digits than its factorization.

313048560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 313048560 is about 17693.1783464701. The cubic root of 313048560 is about 679.0012442833.

Adding to 313048560 its reverse (65840313), we get a palindrome (378888873).

The spelling of 313048560 in words is "three hundred thirteen million, forty-eight thousand, five hundred sixty".