317256480 has 384 divisors, whose sum is σ = 1207664640. Its totient is φ = 77552640.

The previous prime is 317256473. The next prime is 317256493. The reversal of 317256480 is 84652713.

317256480 is a `hidden beast` number, since 3 + 1 + 7 + 2 + 5 + 648 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3080109 + ... + 3080211.

It is an arithmetic number, because the mean of its divisors is an integer number (3144960).

Almost surely, 2^317256480 is an apocalyptic number.

317256480 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 317256480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603832320).

317256480 is an abundant number, since it is smaller than the sum of its proper divisors (890408160).

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

317256480 is a wasteful number, since it uses less digits than its factorization.

317256480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 317256480 is about 17811.6950344430. The cubic root of 317256480 is about 682.0300351120.

The spelling of 317256480 in words is "three hundred seventeen million, two hundred fifty-six thousand, four hundred eighty".