413504817 has 32 divisors (see below), whose sum is σ = 611380224. Its totient is φ = 246513600.

The previous prime is 413504797. The next prime is 413504827. The reversal of 413504817 is 718405314.

It is not a de Polignac number, because 413504817 - 2¹⁰ = 413503793 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (413504827) 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 31 ways as a sum of consecutive naturals, for example, 638788 + ... + 639434.

It is an arithmetic number, because the mean of its divisors is an integer number (19105632).

Almost surely, 2^413504817 is an apocalyptic number.

It is an amenable number.

413504817 is a deficient number, since it is larger than the sum of its proper divisors (197875407).

413504817 is a wasteful number, since it uses less digits than its factorization.

413504817 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 949.

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 413504817 is about 20334.8178501800. The cubic root of 413504817 is about 745.0067215585.

The spelling of 413504817 in words is "four hundred thirteen million, five hundred four thousand, eight hundred seventeen".