416188049 has 2 divisors, whose sum is σ = 416188050. Its totient is φ = 416188048.

The previous prime is 416188009. The next prime is 416188057. The reversal of 416188049 is 940881614.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 415874449 + 313600 = 20393^2 + 560^2 .

It is a cyclic number.

It is not a de Polignac number, because 416188049 - 2²⁴ = 399410833 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 416187997 and 416188015.

It is not a weakly prime, because it can be changed into another prime (416188009) 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, 208094024 + 208094025.

It is an arithmetic number, because the mean of its divisors is an integer number (208094025).

Almost surely, 2^416188049 is an apocalyptic number.

It is an amenable number.

416188049 is a deficient number, since it is larger than the sum of its proper divisors (1).

416188049 is an equidigital number, since it uses as much as digits as its factorization.

416188049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 55296, while the sum is 41.

The square root of 416188049 is about 20400.6874639067. The cubic root of 416188049 is about 746.6146975903.

The spelling of 416188049 in words is "four hundred sixteen million, one hundred eighty-eight thousand, forty-nine".