417332961 has 12 divisors (see below), whose sum is σ = 603271188. Its totient is φ = 278011104.

The previous prime is 417332947. The next prime is 417332963. The reversal of 417332961 is 169233714.

It can be written as a sum of positive squares in 2 ways, for example, as 354606561 + 62726400 = 18831^2 + 7920^2 .

It is not a de Polignac number, because 417332961 - 2¹¹ = 417330913 is a prime.

It is not an unprimeable number, because it can be changed into a prime (417332963) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4530 + ... + 29243.

It is an arithmetic number, because the mean of its divisors is an integer number (50272599).

Almost surely, 2^417332961 is an apocalyptic number.

It is an amenable number.

417332961 is a deficient number, since it is larger than the sum of its proper divisors (185938227).

417332961 is a wasteful number, since it uses less digits than its factorization.

417332961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35152 (or 35149 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 417332961 is about 20428.7288150780. The cubic root of 417332961 is about 747.2987036784.

The spelling of 417332961 in words is "four hundred seventeen million, three hundred thirty-two thousand, nine hundred sixty-one".