409853141 has 2 divisors, whose sum is σ = 409853142. Its totient is φ = 409853140.

The previous prime is 409853111. The next prime is 409853209. The reversal of 409853141 is 141358904.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 351712516 + 58140625 = 18754^2 + 7625^2 .

It is a cyclic number.

It is not a de Polignac number, because 409853141 - 2¹⁰ = 409852117 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (409853111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 204926570 + 204926571.

It is an arithmetic number, because the mean of its divisors is an integer number (204926571).

Almost surely, 2^409853141 is an apocalyptic number.

It is an amenable number.

409853141 is a deficient number, since it is larger than the sum of its proper divisors (1).

409853141 is an equidigital number, since it uses as much as digits as its factorization.

409853141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17280, while the sum is 35.

The square root of 409853141 is about 20244.8299819979. The cubic root of 409853141 is about 742.8071735954.

The spelling of 409853141 in words is "four hundred nine million, eight hundred fifty-three thousand, one hundred forty-one".