416940593 has 2 divisors, whose sum is σ = 416940594. Its totient is φ = 416940592.

The previous prime is 416940581. The next prime is 416940611. The reversal of 416940593 is 395049614.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 344213809 + 72726784 = 18553^2 + 8528^2 .

It is a cyclic number.

It is not a de Polignac number, because 416940593 - 2²⁰ = 415892017 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 416940593.

It is not a weakly prime, because it can be changed into another prime (416940893) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 208470296 + 208470297.

It is an arithmetic number, because the mean of its divisors is an integer number (208470297).

Almost surely, 2^416940593 is an apocalyptic number.

It is an amenable number.

416940593 is a deficient number, since it is larger than the sum of its proper divisors (1).

416940593 is an equidigital number, since it uses as much as digits as its factorization.

416940593 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 116640, while the sum is 41.

The square root of 416940593 is about 20419.1232181992. The cubic root of 416940593 is about 747.0644318737.

The spelling of 416940593 in words is "four hundred sixteen million, nine hundred forty thousand, five hundred ninety-three".