413512164 has 72 divisors (see below), whose sum is σ = 1137401720. Its totient is φ = 125908992.

The previous prime is 413512163. The next prime is 413512171. The reversal of 413512164 is 461215314.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1016064 + 412496100 = 1008^2 + 20310^2 .

It is not an unprimeable number, because it can be changed into a prime (413512163) 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, 40842 + ... + 49950.

Almost surely, 2^413512164 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 413512164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568700860).

413512164 is an abundant number, since it is smaller than the sum of its proper divisors (723889556).

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

413512164 is a wasteful number, since it uses less digits than its factorization.

413512164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9229 (or 9224 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 413512164 is about 20334.9985001229. The cubic root of 413512164 is about 745.0111338666.

Adding to 413512164 its reverse (461215314), we get a palindrome (874727478).

The spelling of 413512164 in words is "four hundred thirteen million, five hundred twelve thousand, one hundred sixty-four".