413016704 has 64 divisors (see below), whose sum is σ = 875111040. Its totient is φ = 193729536.

The previous prime is 413016701. The next prime is 413016781. The reversal of 413016704 is 407610314.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (413016701) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 154709 + ... + 157355.

It is an arithmetic number, because the mean of its divisors is an integer number (13673610).

Almost surely, 2^413016704 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 413016704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437555520).

413016704 is an abundant number, since it is smaller than the sum of its proper divisors (462094336).

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

413016704 is a wasteful number, since it uses less digits than its factorization.

413016704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2737 (or 2725 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 413016704 is about 20322.8124037988. The cubic root of 413016704 is about 744.7134636717.

The spelling of 413016704 in words is "four hundred thirteen million, sixteen thousand, seven hundred four".