317929920 has 672 divisors, whose sum is σ = 1401007104. Its totient is φ = 59473920.

The previous prime is 317929901. The next prime is 317929961. The reversal of 317929920 is 29929713.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13823029 + ... + 13823051.

It is an arithmetic number, because the mean of its divisors is an integer number (2084832).

Almost surely, 2^317929920 is an apocalyptic number.

317929920 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 317929920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700503552).

317929920 is an abundant number, since it is smaller than the sum of its proper divisors (1083077184).

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

317929920 is a wasteful number, since it uses less digits than its factorization.

317929920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 61236, while the sum is 42.

The square root of 317929920 is about 17830.5894462298. The cubic root of 317929920 is about 682.5122755376.

The spelling of 317929920 in words is "three hundred seventeen million, nine hundred twenty-nine thousand, nine hundred twenty".