315306240 has 144 divisors (see below), whose sum is σ = 1015361088. Its totient is φ = 83386368.

The previous prime is 315306217. The next prime is 315306253. The reversal of 315306240 is 42603513.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 315306240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 602619 + ... + 603141.

Almost surely, 2^315306240 is an apocalyptic number.

315306240 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 315306240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507680544).

315306240 is an abundant number, since it is smaller than the sum of its proper divisors (700054848).

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

315306240 is a wasteful number, since it uses less digits than its factorization.

315306240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 315306240 is about 17756.8645880966. The cubic root of 315306240 is about 680.6296359644.

Adding to 315306240 its reverse (42603513), we get a palindrome (357909753).

The spelling of 315306240 in words is "three hundred fifteen million, three hundred six thousand, two hundred forty".