317420352 has 84 divisors (see below), whose sum is σ = 922413700. Its totient is φ = 104343552.

The previous prime is 317420351. The next prime is 317420419. The reversal of 317420352 is 253024713.

It can be written as a sum of positive squares in 2 ways, for example, as 225720576 + 91699776 = 15024^2 + 9576^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (317420351) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38274 + ... + 45822.

Almost surely, 2^317420352 is an apocalyptic number.

317420352 is a gapful number since it is divisible by the number (32) 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 317420352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461206850).

317420352 is an abundant number, since it is smaller than the sum of its proper divisors (604993348).

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

317420352 is a wasteful number, since it uses less digits than its factorization.

317420352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7640 (or 7627 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 317420352 is about 17816.2945642465. The cubic root of 317420352 is about 682.1474442064.

The spelling of 317420352 in words is "three hundred seventeen million, four hundred twenty thousand, three hundred fifty-two".