417968829 has 20 divisors (see below), whose sum is σ = 630821884. Its totient is φ = 275768064.

The previous prime is 417968819. The next prime is 417968839. The reversal of 417968829 is 928869714.

It is an interprime number because it is at equal distance from previous prime (417968819) and next prime (417968839).

It can be written as a sum of positive squares in 2 ways, for example, as 241025625 + 176943204 = 15525^2 + 13302^2 .

It is not a de Polignac number, because 417968829 - 2⁵ = 417968797 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (417968809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 18742 + ... + 34455.

Almost surely, 2^417968829 is an apocalyptic number.

It is an amenable number.

417968829 is a deficient number, since it is larger than the sum of its proper divisors (212853055).

417968829 is an equidigital number, since it uses as much as digits as its factorization.

417968829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53306 (or 53297 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The square root of 417968829 is about 20444.2859743254. The cubic root of 417968829 is about 747.6780508212.

It can be divided in two parts, 41796 and 8829, that added together give a 4-th power (50625 = 15⁴).

The spelling of 417968829 in words is "four hundred seventeen million, nine hundred sixty-eight thousand, eight hundred twenty-nine".