409407149 has 2 divisors, whose sum is σ = 409407150. Its totient is φ = 409407148.

The previous prime is 409407137. The next prime is 409407157. The reversal of 409407149 is 941704904.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 340218025 + 69189124 = 18445^2 + 8318^2 .

It is a cyclic number.

It is not a de Polignac number, because 409407149 - 2²⁴ = 392629933 is a prime.

It is a super-2 number, since 2×409407149² = 335228427304616402, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (409407169) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 204703574 + 204703575.

It is an arithmetic number, because the mean of its divisors is an integer number (204703575).

Almost surely, 2^409407149 is an apocalyptic number.

It is an amenable number.

409407149 is a deficient number, since it is larger than the sum of its proper divisors (1).

409407149 is an equidigital number, since it uses as much as digits as its factorization.

409407149 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36288, while the sum is 38.

The square root of 409407149 is about 20233.8120234423. The cubic root of 409407149 is about 742.5376410382.

The spelling of 409407149 in words is "four hundred nine million, four hundred seven thousand, one hundred forty-nine".