413116164 has 72 divisors (see below), whose sum is σ = 1126114080. Its totient is φ = 127267200.

The previous prime is 413116163. The next prime is 413116169. The reversal of 413116164 is 461611314.

413116164 is a `hidden beast` number, since 41 + 3 + 1 + 1 + 616 + 4 = 666.

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 (413116163) 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, 20679 + ... + 35409.

Almost surely, 2^413116164 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 413116164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563057040).

413116164 is an abundant number, since it is smaller than the sum of its proper divisors (712997916).

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

413116164 is a wasteful number, since it uses less digits than its factorization.

413116164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14801 (or 14796 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 413116164 is about 20325.2592603391. The cubic root of 413116164 is about 744.7732378936.

Adding to 413116164 its reverse (461611314), we get a palindrome (874727478).

The spelling of 413116164 in words is "four hundred thirteen million, one hundred sixteen thousand, one hundred sixty-four".