413016516 has 96 divisors (see below), whose sum is σ = 1174118400. Its totient is φ = 124515360.

The previous prime is 413016481. The next prime is 413016517. The reversal of 413016516 is 615610314.

413016516 is a `hidden beast` number, since 4 + 1 + 3 + 0 + 1 + 651 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 413016516.

It is not an unprimeable number, because it can be changed into a prime (413016517) 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, 264145 + ... + 265703.

It is an arithmetic number, because the mean of its divisors is an integer number (12230400).

Almost surely, 2^413016516 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 413016516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587059200).

413016516 is an abundant number, since it is smaller than the sum of its proper divisors (761101884).

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

413016516 is a wasteful number, since it uses less digits than its factorization.

413016516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1806 (or 1798 counting only the distinct ones).

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

The square root of 413016516 is about 20322.8077784542. The cubic root of 413016516 is about 744.7133506770.

The spelling of 413016516 in words is "four hundred thirteen million, sixteen thousand, five hundred sixteen".