315200 has 42 divisors (see below), whose sum is σ = 779526. Its totient is φ = 125440.

The previous prime is 315199. The next prime is 315223. The reversal of 315200 is 2513.

It can be written as a sum of positive squares in 3 ways, for example, as 92416 + 222784 = 304^2 + 472^2 .

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 315200.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1502 + ... + 1698.

2³¹⁵²⁰⁰ 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 315200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389763).

315200 is an abundant number, since it is smaller than the sum of its proper divisors (464326).

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

315200 is a wasteful number, since it uses less digits than its factorization.

315200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 11.

The square root of 315200 is about 561.4267539047. The cubic root of 315200 is about 68.0553183079.

Adding to 315200 its reverse (2513), we get a palindrome (317713).

It can be divided in two parts, 315 and 200, that added together give a palindrome (515).

The spelling of 315200 in words is "three hundred fifteen thousand, two hundred".