315242208 has 72 divisors (see below), whose sum is σ = 899262000. Its totient is φ = 104753664.

The previous prime is 315242197. The next prime is 315242227. The reversal of 315242208 is 802242513.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 101868 + ... + 104916.

It is an arithmetic number, because the mean of its divisors is an integer number (12489750).

Almost surely, 2^315242208 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 315242208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449631000).

315242208 is an abundant number, since it is smaller than the sum of its proper divisors (584019792).

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

315242208 is a wasteful number, since it uses less digits than its factorization.

315242208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3424 (or 3413 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 315242208 is about 17755.0614755342. The cubic root of 315242208 is about 680.5835590379.

The spelling of 315242208 in words is "three hundred fifteen million, two hundred forty-two thousand, two hundred eight".