313300480 has 160 divisors (see below), whose sum is σ = 832607424. Its totient is φ = 112459776.

The previous prime is 313300433. The next prime is 313300483. The reversal of 313300480 is 84003313.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313300483) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1000804 + ... + 1001116.

Almost surely, 2^313300480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313300480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416303712).

313300480 is an abundant number, since it is smaller than the sum of its proper divisors (519306944).

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

313300480 is a wasteful number, since it uses less digits than its factorization.

313300480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 313300480 is about 17700.2960427220. The cubic root of 313300480 is about 679.1833333174.

Adding to 313300480 its reverse (84003313), we get a palindrome (397303793).

The spelling of 313300480 in words is "three hundred thirteen million, three hundred thousand, four hundred eighty".