317407680 has 224 divisors, whose sum is σ = 1186159680. Its totient is φ = 79626240.

The previous prime is 317407637. The next prime is 317407681. The reversal of 317407680 is 86704713.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (317407681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 145800 + ... + 147960.

Almost surely, 2^317407680 is an apocalyptic number.

317407680 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 317407680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593079840).

317407680 is an abundant number, since it is smaller than the sum of its proper divisors (868752000).

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

317407680 is a wasteful number, since it uses less digits than its factorization.

317407680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2204 (or 2188 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 317407680 is about 17815.9389311930. The cubic root of 317407680 is about 682.1383665618.

The spelling of 317407680 in words is "three hundred seventeen million, four hundred seven thousand, six hundred eighty".