409742413 has 2 divisors, whose sum is σ = 409742414. Its totient is φ = 409742412.

The previous prime is 409742371. The next prime is 409742423. The reversal of 409742413 is 314247904.

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., 400120009 + 9622404 = 20003^2 + 3102^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-409742413 is a prime.

It is a super-2 number, since 2×409742413² = 335777690022125138, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (409742423) 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, 204871206 + 204871207.

It is an arithmetic number, because the mean of its divisors is an integer number (204871207).

Almost surely, 2^409742413 is an apocalyptic number.

It is an amenable number.

409742413 is a deficient number, since it is larger than the sum of its proper divisors (1).

409742413 is an equidigital number, since it uses as much as digits as its factorization.

409742413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24192, while the sum is 34.

The square root of 409742413 is about 20242.0950743741. The cubic root of 409742413 is about 742.7402740545.

The spelling of 409742413 in words is "four hundred nine million, seven hundred forty-two thousand, four hundred thirteen".