317041920 has 432 divisors, whose sum is σ = 1238786640. Its totient is φ = 74317824.

The previous prime is 317041897. The next prime is 317041943. The reversal of 317041920 is 29140713.

It is an interprime number because it is at equal distance from previous prime (317041897) and next prime (317041943).

It can be written as a sum of positive squares in 8 ways, for example, as 15116544 + 301925376 = 3888^2 + 17376^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4343004 + ... + 4343076.

Almost surely, 2^317041920 is an apocalyptic number.

317041920 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 317041920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619393320).

317041920 is an abundant number, since it is smaller than the sum of its proper divisors (921744720).

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

317041920 is a wasteful number, since it uses less digits than its factorization.

317041920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 317041920 is about 17805.6710067327. The cubic root of 317041920 is about 681.8762485334.

The spelling of 317041920 in words is "three hundred seventeen million, forty-one thousand, nine hundred twenty".