480298313 has 16 divisors (see below), whose sum is σ = 542324160. Its totient is φ = 421555200.

The previous prime is 480298307. The next prime is 480298339. The reversal of 480298313 is 313892084.

It is not a de Polignac number, because 480298313 - 2⁶ = 480298249 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (485298313) 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, 38258 + ... + 49236.

It is an arithmetic number, because the mean of its divisors is an integer number (33895260).

Almost surely, 2^480298313 is an apocalyptic number.

It is an amenable number.

480298313 is a deficient number, since it is larger than the sum of its proper divisors (62025847).

480298313 is a wasteful number, since it uses less digits than its factorization.

480298313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11128.

The product of its (nonzero) digits is 41472, while the sum is 38.

The square root of 480298313 is about 21915.7092743995. The cubic root of 480298313 is about 783.1356968531.

The spelling of 480298313 in words is "four hundred eighty million, two hundred ninety-eight thousand, three hundred thirteen".