317031264 has 288 divisors, whose sum is σ = 1085011200. Its totient is φ = 86676480.

The previous prime is 317031227. The next prime is 317031269. The reversal of 317031264 is 462130713.

317031264 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (317031269) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1384302 + ... + 1384530.

It is an arithmetic number, because the mean of its divisors is an integer number (3767400).

Almost surely, 2^317031264 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 317031264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542505600).

317031264 is an abundant number, since it is smaller than the sum of its proper divisors (767979936).

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

317031264 is a wasteful number, since it uses less digits than its factorization.

317031264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 317031264 is about 17805.3717737092. The cubic root of 317031264 is about 681.8686090024.

Adding to 317031264 its reverse (462130713), we get a palindrome (779161977).

The spelling of 317031264 in words is "three hundred seventeen million, thirty-one thousand, two hundred sixty-four".