409782449 has 2 divisors, whose sum is σ = 409782450. Its totient is φ = 409782448.

The previous prime is 409782431. The next prime is 409782463. The reversal of 409782449 is 944287904.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 322023025 + 87759424 = 17945^2 + 9368^2 .

It is a cyclic number.

It is not a de Polignac number, because 409782449 - 2¹⁶ = 409716913 is a prime.

It is not a weakly prime, because it can be changed into another prime (409782479) 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, 204891224 + 204891225.

It is an arithmetic number, because the mean of its divisors is an integer number (204891225).

Almost surely, 2^409782449 is an apocalyptic number.

It is an amenable number.

409782449 is a deficient number, since it is larger than the sum of its proper divisors (1).

409782449 is an equidigital number, since it uses as much as digits as its factorization.

409782449 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 580608, while the sum is 47.

The square root of 409782449 is about 20243.0839794731. The cubic root of 409782449 is about 742.7644643590.

The spelling of 409782449 in words is "four hundred nine million, seven hundred eighty-two thousand, four hundred forty-nine".