317990400 has 540 divisors, whose sum is σ = 1323193212. Its totient is φ = 67092480.

The previous prime is 317990399. The next prime is 317990401. The reversal of 317990400 is 4099713.

It is an interprime number because it is at equal distance from previous prime (317990399) and next prime (317990401).

It is a super-2 number, since 2×317990400² = 202235788984320000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (317990401) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 24460794 + ... + 24460806.

Almost surely, 2^317990400 is an apocalyptic number.

317990400 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 317990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661596606).

317990400 is an abundant number, since it is smaller than the sum of its proper divisors (1005202812).

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

317990400 is a wasteful number, since it uses less digits than its factorization.

317990400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 33.

The square root of 317990400 is about 17832.2853274615. The cubic root of 317990400 is about 682.5555510339. Note that the first 5 decimals are identical.

The spelling of 317990400 in words is "three hundred seventeen million, nine hundred ninety thousand, four hundred".