416964193 has 2 divisors, whose sum is σ = 416964194. Its totient is φ = 416964192.

The previous prime is 416964181. The next prime is 416964221. The reversal of 416964193 is 391469614.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 279324369 + 137639824 = 16713^2 + 11732^2 .

It is a cyclic number.

It is not a de Polignac number, because 416964193 - 2⁹ = 416963681 is a prime.

It is not a weakly prime, because it can be changed into another prime (416964113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 208482096 + 208482097.

It is an arithmetic number, because the mean of its divisors is an integer number (208482097).

Almost surely, 2^416964193 is an apocalyptic number.

It is an amenable number.

416964193 is a deficient number, since it is larger than the sum of its proper divisors (1).

416964193 is an equidigital number, since it uses as much as digits as its factorization.

416964193 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 139968, while the sum is 43.

The square root of 416964193 is about 20419.7010996733. The cubic root of 416964193 is about 747.0785269177.

The spelling of 416964193 in words is "four hundred sixteen million, nine hundred sixty-four thousand, one hundred ninety-three".