315016416 has 144 divisors (see below), whose sum is σ = 1052578800. Its totient is φ = 88104960.

The previous prime is 315016411. The next prime is 315016417. The reversal of 315016416 is 614610513.

315016416 is a `hidden beast` number, since 3 + 15 + 0 + 1 + 641 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 315016416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315016411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37360 + ... + 45008.

It is an arithmetic number, because the mean of its divisors is an integer number (7309575).

Almost surely, 2^315016416 is an apocalyptic number.

315016416 is a gapful number since it is divisible by the number (36) 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 315016416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526289400).

315016416 is an abundant number, since it is smaller than the sum of its proper divisors (737562384).

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

315016416 is a wasteful number, since it uses less digits than its factorization.

315016416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7689 (or 7678 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 315016416 is about 17748.7018116819. The cubic root of 315016416 is about 680.4210310700.

Adding to 315016416 its reverse (614610513), we get a palindrome (929626929).

The spelling of 315016416 in words is "three hundred fifteen million, sixteen thousand, four hundred sixteen".