315225240 has 128 divisors (see below), whose sum is σ = 1053803520. Its totient is φ = 74777600.

The previous prime is 315225233. The next prime is 315225241. The reversal of 315225240 is 42522513.

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 315225240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315225241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59500 + ... + 64580.

It is an arithmetic number, because the mean of its divisors is an integer number (8232840).

Almost surely, 2^315225240 is an apocalyptic number.

315225240 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 315225240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526901760).

315225240 is an abundant number, since it is smaller than the sum of its proper divisors (738578280).

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

315225240 is a wasteful number, since it uses less digits than its factorization.

315225240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5153 (or 5149 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 315225240 is about 17754.5836335297. The cubic root of 315225240 is about 680.5713479520.

Adding to 315225240 its reverse (42522513), we get a palindrome (357747753).

The spelling of 315225240 in words is "three hundred fifteen million, two hundred twenty-five thousand, two hundred forty".