315450016 has 48 divisors (see below), whose sum is σ = 711668160. Its totient is φ = 134830080.

The previous prime is 315450007. The next prime is 315450043. The reversal of 315450016 is 610054513.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 92176 + ... + 95536.

It is an arithmetic number, because the mean of its divisors is an integer number (14826420).

Almost surely, 2^315450016 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 315450016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355834080).

315450016 is an abundant number, since it is smaller than the sum of its proper divisors (396218144).

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

315450016 is a wasteful number, since it uses less digits than its factorization.

315450016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3797 (or 3789 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The square root of 315450016 is about 17760.9125891661. The cubic root of 315450016 is about 680.7330733255.

The spelling of 315450016 in words is "three hundred fifteen million, four hundred fifty thousand, sixteen".