409963649 has 2 divisors, whose sum is σ = 409963650. Its totient is φ = 409963648.

The previous prime is 409963579. The next prime is 409963711. The reversal of 409963649 is 946369904.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 405418225 + 4545424 = 20135^2 + 2132^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-409963649 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 409963597 and 409963606.

It is not a weakly prime, because it can be changed into another prime (409963349) 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, 204981824 + 204981825.

It is an arithmetic number, because the mean of its divisors is an integer number (204981825).

Almost surely, 2^409963649 is an apocalyptic number.

It is an amenable number.

409963649 is a deficient number, since it is larger than the sum of its proper divisors (1).

409963649 is an equidigital number, since it uses as much as digits as its factorization.

409963649 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1259712, while the sum is 50.

The square root of 409963649 is about 20247.5590874555. The cubic root of 409963649 is about 742.8739282045.

The spelling of 409963649 in words is "four hundred nine million, nine hundred sixty-three thousand, six hundred forty-nine".