318400 has 42 divisors (see below), whose sum is σ = 787400. Its totient is φ = 126720.

The previous prime is 318377. The next prime is 318403. The reversal of 318400 is 4813.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (318403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1501 + ... + 1699.

2³¹⁸⁴⁰⁰ 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 318400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393700).

318400 is an abundant number, since it is smaller than the sum of its proper divisors (469000).

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

318400 is a wasteful number, since it uses less digits than its factorization.

318400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 318400 is about 564.2694391866. The cubic root of 318400 is about 68.2848489438.

318400 divided by its sum of digits (16) gives a triangular number (19900 = T₁₉₉).

The spelling of 318400 in words is "three hundred eighteen thousand, four hundred".