417461085 has 24 divisors (see below), whose sum is σ = 733517304. Its totient is φ = 219594240.

The previous prime is 417461069. The next prime is 417461087. The reversal of 417461085 is 580164714.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 29095236 + 388365849 = 5394^2 + 19707^2 .

It is not a de Polignac number, because 417461085 - 2⁴ = 417461069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (417461087) 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 23 ways as a sum of consecutive naturals, for example, 60256 + ... + 66825.

It is an arithmetic number, because the mean of its divisors is an integer number (30563221).

Almost surely, 2^417461085 is an apocalyptic number.

417461085 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

417461085 is a deficient number, since it is larger than the sum of its proper divisors (316056219).

417461085 is a wasteful number, since it uses less digits than its factorization.

417461085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127165 (or 127162 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 417461085 is about 20431.8644523695. The cubic root of 417461085 is about 747.3751710808.

The spelling of 417461085 in words is "four hundred seventeen million, four hundred sixty-one thousand, eighty-five".