413419961 has 2 divisors, whose sum is σ = 413419962. Its totient is φ = 413419960.

The previous prime is 413419939. The next prime is 413419973. The reversal of 413419961 is 169914314.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 406264336 + 7155625 = 20156^2 + 2675^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-413419961 is a prime.

It is not a weakly prime, because it can be changed into another prime (413419901) 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, 206709980 + 206709981.

It is an arithmetic number, because the mean of its divisors is an integer number (206709981).

Almost surely, 2^413419961 is an apocalyptic number.

It is an amenable number.

413419961 is a deficient number, since it is larger than the sum of its proper divisors (1).

413419961 is an equidigital number, since it uses as much as digits as its factorization.

413419961 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 23328, while the sum is 38.

The square root of 413419961 is about 20332.7312725074. The cubic root of 413419961 is about 744.9557567228.

The spelling of 413419961 in words is "four hundred thirteen million, four hundred nineteen thousand, nine hundred sixty-one".