409441 has 2 divisors, whose sum is σ = 409442. Its totient is φ = 409440.

The previous prime is 409433. The next prime is 409463. The reversal of 409441 is 144904.

It is a happy number.

It is an a-pointer prime, because the next prime (409463) can be obtained adding 409441 to its sum of digits (22).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 279841 + 129600 = 529^2 + 360^2 .

It is a cyclic number.

It is not a de Polignac number, because 409441 - 2³ = 409433 is a prime.

It is a Chen prime.

409441 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (409471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 204720 + 204721.

It is an arithmetic number, because the mean of its divisors is an integer number (204721).

2⁴⁰⁹⁴⁴¹ is an apocalyptic number.

It is an amenable number.

409441 is a deficient number, since it is larger than the sum of its proper divisors (1).

409441 is an equidigital number, since it uses as much as digits as its factorization.

409441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 409441 is about 639.8757691927. The cubic root of 409441 is about 74.2558105547.

The spelling of 409441 in words is "four hundred nine thousand, four hundred forty-one".