313660480 has 112 divisors (see below), whose sum is σ = 881335296. Its totient is φ = 104048640.

The previous prime is 313660429. The next prime is 313660483. The reversal of 313660480 is 84066313.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (313660483) 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, 67182 + ... + 71698.

Almost surely, 2^313660480 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 313660480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440667648).

313660480 is an abundant number, since it is smaller than the sum of its proper divisors (567674816).

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

313660480 is a wasteful number, since it uses less digits than its factorization.

313660480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4572 (or 4562 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 313660480 is about 17710.4624445552. The cubic root of 313660480 is about 679.4433737844.

The spelling of 313660480 in words is "three hundred thirteen million, six hundred sixty thousand, four hundred eighty".