315953240 has 64 divisors (see below), whose sum is σ = 744975360. Its totient is φ = 120447360.

The previous prime is 315953233. The next prime is 315953243. The reversal of 315953240 is 42359513.

It is a junction number, because it is equal to n+sod(n) for n = 315953197 and 315953206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315953243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81179 + ... + 84981.

It is an arithmetic number, because the mean of its divisors is an integer number (11640240).

Almost surely, 2^315953240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 315953240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372487680).

315953240 is an abundant number, since it is smaller than the sum of its proper divisors (429022120).

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

315953240 is a wasteful number, since it uses less digits than its factorization.

315953240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3912 (or 3908 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 32.

The square root of 315953240 is about 17775.0735582163. The cubic root of 315953240 is about 681.0948625221.

The spelling of 315953240 in words is "three hundred fifteen million, nine hundred fifty-three thousand, two hundred forty".