413913617 has 12 divisors (see below), whose sum is σ = 450584064. Its totient is φ = 380044080.

The previous prime is 413913587. The next prime is 413913653. The reversal of 413913617 is 716319314.

It is a happy number.

It is not a de Polignac number, because 413913617 - 2⁶ = 413913553 is a prime.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (413913677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25868 + ... + 38690.

It is an arithmetic number, because the mean of its divisors is an integer number (37548672).

Almost surely, 2^413913617 is an apocalyptic number.

It is an amenable number.

413913617 is a deficient number, since it is larger than the sum of its proper divisors (36670447).

413913617 is a wasteful number, since it uses less digits than its factorization.

413913617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13040 (or 13027 counting only the distinct ones).

The product of its digits is 13608, while the sum is 35.

The square root of 413913617 is about 20344.8670922176. The cubic root of 413913617 is about 745.2521507336.

The spelling of 413913617 in words is "four hundred thirteen million, nine hundred thirteen thousand, six hundred seventeen".