416964221 has 2 divisors, whose sum is σ = 416964222. Its totient is φ = 416964220.

The previous prime is 416964193. The next prime is 416964227. The reversal of 416964221 is 122469614.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 412658596 + 4305625 = 20314^2 + 2075^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-416964221 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (416964227) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 208482110 + 208482111.

It is an arithmetic number, because the mean of its divisors is an integer number (208482111).

Almost surely, 2^416964221 is an apocalyptic number.

It is an amenable number.

416964221 is a deficient number, since it is larger than the sum of its proper divisors (1).

416964221 is an equidigital number, since it uses as much as digits as its factorization.

416964221 is an evil number, because the sum of its binary digits is even.

The product of its digits is 20736, while the sum is 35.

The square root of 416964221 is about 20419.7017852857. The cubic root of 416964221 is about 747.0785436403.

The spelling of 416964221 in words is "four hundred sixteen million, nine hundred sixty-four thousand, two hundred twenty-one".