314716416 has 108 divisors (see below), whose sum is σ = 974472912. Its totient is φ = 89908224.

The previous prime is 314716411. The next prime is 314716421. The reversal of 314716416 is 614617413.

314716416 is a nontrivial binomial coefficient, being equal to C(25089, 2).

It is an interprime number because it is at equal distance from previous prime (314716411) and next prime (314716421).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (314716411) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33451 + ... + 41813.

Almost surely, 2^314716416 is an apocalyptic number.

314716416 is the 25088-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314716416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487236456).

314716416 is an abundant number, since it is smaller than the sum of its proper divisors (659756496).

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

314716416 is an equidigital number, since it uses as much as digits as its factorization.

314716416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8396 (or 8375 counting only the distinct ones).

The product of its digits is 12096, while the sum is 33.

The square root of 314716416 is about 17740.2484762756. The cubic root of 314716416 is about 680.2049670473.

The spelling of 314716416 in words is "three hundred fourteen million, seven hundred sixteen thousand, four hundred sixteen".