315114240 has 288 divisors, whose sum is σ = 1212664320. Its totient is φ = 68124672.

The previous prime is 315114211. The next prime is 315114263. The reversal of 315114240 is 42411513.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 1234 × 210 × 1216.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 510412 + ... + 511028.

It is an arithmetic number, because the mean of its divisors is an integer number (4210640).

Almost surely, 2^315114240 is an apocalyptic number.

315114240 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 315114240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606332160).

315114240 is an abundant number, since it is smaller than the sum of its proper divisors (897550080).

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

315114240 is a wasteful number, since it uses less digits than its factorization.

315114240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 315114240 is about 17751.4574049569. The cubic root of 315114240 is about 680.4914555673.

Adding to 315114240 its reverse (42411513), we get a palindrome (357525753).

It can be divided in two parts, 3151 and 14240, that added together give a triangular number (17391 = T₁₈₆).

The spelling of 315114240 in words is "three hundred fifteen million, one hundred fourteen thousand, two hundred forty".