317856240 has 240 divisors, whose sum is σ = 1190236320. Its totient is φ = 75479040.

The previous prime is 317856229. The next prime is 317856271. The reversal of 317856240 is 42658713.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 317856195 and 317856204.

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, 270855 + ... + 272025.

It is an arithmetic number, because the mean of its divisors is an integer number (4959318).

Almost surely, 2^317856240 is an apocalyptic number.

317856240 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 317856240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595118160).

317856240 is an abundant number, since it is smaller than the sum of its proper divisors (872380080).

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

317856240 is a wasteful number, since it uses less digits than its factorization.

317856240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1232 (or 1223 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 317856240 is about 17828.5232142205. The cubic root of 317856240 is about 682.4595475762.

It can be divided in two parts, 317856 and 240, that added together give a square (318096 = 564²).

The spelling of 317856240 in words is "three hundred seventeen million, eight hundred fifty-six thousand, two hundred forty".