317952000 has 416 divisors, whose sum is σ = 1226684160. Its totient is φ = 81100800.

The previous prime is 317951999. The next prime is 317952013. The reversal of 317952000 is 259713.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13823989 + ... + 13824011.

It is an arithmetic number, because the mean of its divisors is an integer number (2948760).

Almost surely, 2^317952000 is an apocalyptic number.

317952000 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 317952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613342080).

317952000 is an abundant number, since it is smaller than the sum of its proper divisors (908732160).

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

317952000 is an equidigital number, since it uses as much as digits as its factorization.

317952000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 317952000 is about 17831.2085961664. The cubic root of 317952000 is about 682.5280751644.

The spelling of 317952000 in words is "three hundred seventeen million, nine hundred fifty-two thousand".