315380 has 24 divisors (see below), whose sum is σ = 713832. Its totient is φ = 116352.

The previous prime is 315377. The next prime is 315389. The reversal of 315380 is 83513.

315380 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 8464 + 306916 = 92^2 + 554^2 .

It is a Smith number, since the sum of its digits (20) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315389) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 347 + ... + 866.

It is an arithmetic number, because the mean of its divisors is an integer number (29743).

2³¹⁵³⁸⁰ is an apocalyptic number.

It is an amenable number.

315380 is an abundant number, since it is smaller than the sum of its proper divisors (398452).

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

315380 is a wasteful number, since it uses less digits than its factorization.

315380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1235 (or 1233 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 315380 is about 561.5870368874. The cubic root of 315380 is about 68.0682705353.

Adding to 315380 its reverse (83513), we get a palindrome (398893).

The spelling of 315380 in words is "three hundred fifteen thousand, three hundred eighty".