317880400 has 60 divisors (see below), whose sum is σ = 765505692. Its totient is φ = 126853120.

The previous prime is 317880391. The next prime is 317880427. The reversal of 317880400 is 4088713.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 40857664 + 277022736 = 6392^2 + 16644^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 260592 + ... + 261808.

Almost surely, 2^317880400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 317880400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382752846).

317880400 is an abundant number, since it is smaller than the sum of its proper divisors (447625292).

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

317880400 is a wasteful number, since it uses less digits than its factorization.

317880400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1888 (or 1877 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 31.

The square root of 317880400 is about 17829.2007672806. The cubic root of 317880400 is about 682.4768382073.

The spelling of 317880400 in words is "three hundred seventeen million, eight hundred eighty thousand, four hundred".