317420400 has 240 divisors, whose sum is σ = 1123678080. Its totient is φ = 75955200.

The previous prime is 317420351. The next prime is 317420419. The reversal of 317420400 is 4024713.

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

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, 1834714 + ... + 1834886.

It is an arithmetic number, because the mean of its divisors is an integer number (4681992).

Almost surely, 2^317420400 is an apocalyptic number.

317420400 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 317420400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561839040).

317420400 is an abundant number, since it is smaller than the sum of its proper divisors (806257680).

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

317420400 is a wasteful number, since it uses less digits than its factorization.

317420400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 317420400 is about 17816.2959113279. The cubic root of 317420400 is about 682.1474785910.

The spelling of 317420400 in words is "three hundred seventeen million, four hundred twenty thousand, four hundred".