416033993 has 2 divisors, whose sum is σ = 416033994. Its totient is φ = 416033992.

The previous prime is 416033983. The next prime is 416034007. The reversal of 416033993 is 399330614.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 264940729 + 151093264 = 16277^2 + 12292^2 .

It is a cyclic number.

It is not a de Polignac number, because 416033993 - 2¹⁶ = 415968457 is a prime.

It is not a weakly prime, because it can be changed into another prime (416033903) 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, 208016996 + 208016997.

It is an arithmetic number, because the mean of its divisors is an integer number (208016997).

Almost surely, 2^416033993 is an apocalyptic number.

It is an amenable number.

416033993 is a deficient number, since it is larger than the sum of its proper divisors (1).

416033993 is an equidigital number, since it uses as much as digits as its factorization.

416033993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 52488, while the sum is 38.

The square root of 416033993 is about 20396.9113593210. The cubic root of 416033993 is about 746.5225640231.

The spelling of 416033993 in words is "four hundred sixteen million, thirty-three thousand, nine hundred ninety-three".