417661441 has 2 divisors, whose sum is σ = 417661442. Its totient is φ = 417661440.

The previous prime is 417661417. The next prime is 417661469. The reversal of 417661441 is 144166714.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 334121841 + 83539600 = 18279^2 + 9140^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-417661441 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 417661397 and 417661406.

It is not a weakly prime, because it can be changed into another prime (417661141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 208830720 + 208830721.

It is an arithmetic number, because the mean of its divisors is an integer number (208830721).

Almost surely, 2^417661441 is an apocalyptic number.

It is an amenable number.

417661441 is a deficient number, since it is larger than the sum of its proper divisors (1).

417661441 is an equidigital number, since it uses as much as digits as its factorization.

417661441 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 16128, while the sum is 34.

The square root of 417661441 is about 20436.7668920502. The cubic root of 417661441 is about 747.4947168749.

The spelling of 417661441 in words is "four hundred seventeen million, six hundred sixty-one thousand, four hundred forty-one".