315240 has 64 divisors (see below), whose sum is σ = 984960. Its totient is φ = 80640.

The previous prime is 315223. The next prime is 315247. The reversal of 315240 is 42513.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (315247) by changing a digit.

315240 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4405 + ... + 4475.

It is an arithmetic number, because the mean of its divisors is an integer number (15390).

2³¹⁵²⁴⁰ is an apocalyptic number.

315240 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 315240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492480).

315240 is an abundant number, since it is smaller than the sum of its proper divisors (669720).

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

315240 is a wasteful number, since it uses less digits than its factorization.

315240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 315240 is about 561.4623762996. The cubic root of 315240 is about 68.0581970067.

Adding to 315240 its reverse (42513), we get a palindrome (357753).

It can be divided in two parts, 315 and 240, that added together give a palindrome (555).

The spelling of 315240 in words is "three hundred fifteen thousand, two hundred forty".