315042240 has 112 divisors (see below), whose sum is σ = 1009936512. Its totient is φ = 83198976.

The previous prime is 315042227. The next prime is 315042251. The reversal of 315042240 is 42240513.

315042240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×315042240² = 198503225968435200, which contains 22 as substring.

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, 101187 + ... + 104253.

Almost surely, 2^315042240 is an apocalyptic number.

315042240 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 315042240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504968256).

315042240 is an abundant number, since it is smaller than the sum of its proper divisors (694894272).

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

315042240 is a wasteful number, since it uses less digits than its factorization.

315042240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3194 (or 3184 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 315042240 is about 17749.4292865996. The cubic root of 315042240 is about 680.4396234478.

Adding to 315042240 its reverse (42240513), we get a palindrome (357282753).

The spelling of 315042240 in words is "three hundred fifteen million, forty-two thousand, two hundred forty".