313450560 has 336 divisors, whose sum is σ = 1164945600. Its totient is φ = 80123904.

The previous prime is 313450559. The next prime is 313450561. The reversal of 313450560 is 65054313.

It is an interprime number because it is at equal distance from previous prime (313450559) and next prime (313450561).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (313450561) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2254971 + ... + 2255109.

It is an arithmetic number, because the mean of its divisors is an integer number (3467100).

Almost surely, 2^313450560 is an apocalyptic number.

313450560 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 313450560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582472800).

313450560 is an abundant number, since it is smaller than the sum of its proper divisors (851495040).

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

313450560 is a wasteful number, since it uses less digits than its factorization.

313450560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 178 counting only the distinct ones).

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

The square root of 313450560 is about 17704.5350122504. The cubic root of 313450560 is about 679.2917654983.

The spelling of 313450560 in words is "three hundred thirteen million, four hundred fifty thousand, five hundred sixty".