411916993 has 2 divisors, whose sum is σ = 411916994. Its totient is φ = 411916992.

The previous prime is 411916991. The next prime is 411917029. The reversal of 411916993 is 399619114.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 299705344 + 112211649 = 17312^2 + 10593^2 .

It is a cyclic number.

It is not a de Polignac number, because 411916993 - 2¹ = 411916991 is a prime.

Together with 411916991, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (411916991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 205958496 + 205958497.

It is an arithmetic number, because the mean of its divisors is an integer number (205958497).

Almost surely, 2^411916993 is an apocalyptic number.

It is an amenable number.

411916993 is a deficient number, since it is larger than the sum of its proper divisors (1).

411916993 is an equidigital number, since it uses as much as digits as its factorization.

411916993 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 52488, while the sum is 43.

The square root of 411916993 is about 20295.7382964996. The cubic root of 411916993 is about 744.0519104962.

It can be divided in two parts, 41191 and 6993, that added together give a palindrome (48184).

The spelling of 411916993 in words is "four hundred eleven million, nine hundred sixteen thousand, nine hundred ninety-three".