313253760 has 256 divisors, whose sum is σ = 1088870400. Its totient is φ = 76308480.

The previous prime is 313253749. The next prime is 313253771. The reversal of 313253760 is 67352313.

It is an interprime number because it is at equal distance from previous prime (313253749) and next prime (313253771).

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 31 ways as a sum of consecutive naturals, for example, 1130742 + ... + 1131018.

It is an arithmetic number, because the mean of its divisors is an integer number (4253400).

Almost surely, 2^313253760 is an apocalyptic number.

313253760 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 313253760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544435200).

313253760 is an abundant number, since it is smaller than the sum of its proper divisors (775616640).

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

313253760 is a wasteful number, since it uses less digits than its factorization.

313253760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 30.

The square root of 313253760 is about 17698.9762415796. The cubic root of 313253760 is about 679.1495712426.

The spelling of 313253760 in words is "three hundred thirteen million, two hundred fifty-three thousand, seven hundred sixty".