317114400 has 144 divisors (see below), whose sum is σ = 1047307968. Its totient is φ = 83328000.

The previous prime is 317114359. The next prime is 317114419. The reversal of 317114400 is 4411713.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 169470 + ... + 171330.

It is an arithmetic number, because the mean of its divisors is an integer number (7272972).

Almost surely, 2^317114400 is an apocalyptic number.

317114400 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 317114400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523653984).

317114400 is an abundant number, since it is smaller than the sum of its proper divisors (730193568).

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

317114400 is a wasteful number, since it uses less digits than its factorization.

317114400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1955 (or 1942 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 317114400 is about 17807.7061970373. The cubic root of 317114400 is about 681.9282065676.

It can be divided in two parts, 3171 and 14400, that added together give a palindrome (17571).

The spelling of 317114400 in words is "three hundred seventeen million, one hundred fourteen thousand, four hundred".