413817129 has 12 divisors (see below), whose sum is σ = 652075632. Its totient is φ = 250798200.

The previous prime is 413817119. The next prime is 413817133. The reversal of 413817129 is 921718314.

It is a happy number.

It is not a de Polignac number, because 413817129 - 2⁴ = 413817113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 413817093 and 413817102.

It is not an unprimeable number, because it can be changed into a prime (413817119) 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, 2089887 + ... + 2090084.

It is an arithmetic number, because the mean of its divisors is an integer number (54339636).

Almost surely, 2^413817129 is an apocalyptic number.

It is an amenable number.

413817129 is a deficient number, since it is larger than the sum of its proper divisors (238258503).

413817129 is a wasteful number, since it uses less digits than its factorization.

413817129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4179988 (or 4179985 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 413817129 is about 20342.4956433570. The cubic root of 413817129 is about 745.1942372988.

The spelling of 413817129 in words is "four hundred thirteen million, eight hundred seventeen thousand, one hundred twenty-nine".