417010561 has 16 divisors (see below), whose sum is σ = 484671168. Its totient is φ = 354585600.

The previous prime is 417010553. The next prime is 417010571. The reversal of 417010561 is 165010714.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 417010561 - 2³ = 417010553 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (417010501) 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 15 ways as a sum of consecutive naturals, for example, 23641 + ... + 37321.

It is an arithmetic number, because the mean of its divisors is an integer number (30291948).

Almost surely, 2^417010561 is an apocalyptic number.

It is an amenable number.

417010561 is a deficient number, since it is larger than the sum of its proper divisors (67660607).

417010561 is a wasteful number, since it uses less digits than its factorization.

417010561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13872.

The product of its (nonzero) digits is 840, while the sum is 25.

The square root of 417010561 is about 20420.8364422224. The cubic root of 417010561 is about 747.1062185466.

The spelling of 417010561 in words is "four hundred seventeen million, ten thousand, five hundred sixty-one".