417940961 has 2 divisors, whose sum is σ = 417940962. Its totient is φ = 417940960.

The previous prime is 417940949. The next prime is 417941053. The reversal of 417940961 is 169049714.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 295152400 + 122788561 = 17180^2 + 11081^2 .

It is a cyclic number.

It is not a de Polignac number, because 417940961 - 2¹⁸ = 417678817 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (417940931) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 208970480 + 208970481.

It is an arithmetic number, because the mean of its divisors is an integer number (208970481).

Almost surely, 2^417940961 is an apocalyptic number.

It is an amenable number.

417940961 is a deficient number, since it is larger than the sum of its proper divisors (1).

417940961 is an equidigital number, since it uses as much as digits as its factorization.

417940961 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 54432, while the sum is 41.

The square root of 417940961 is about 20443.6044033336. The cubic root of 417940961 is about 747.6614333499.

The spelling of 417940961 in words is "four hundred seventeen million, nine hundred forty thousand, nine hundred sixty-one".