409403441 has 2 divisors, whose sum is σ = 409403442. Its totient is φ = 409403440.

The previous prime is 409403437. The next prime is 409403443. The reversal of 409403441 is 144304904.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 260661025 + 148742416 = 16145^2 + 12196^2 .

It is a cyclic number.

It is not a de Polignac number, because 409403441 - 2² = 409403437 is a prime.

It is a super-2 number, since 2×409403441² = 335222355005280962, which contains 22 as substring.

Together with 409403443, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (409403443) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 204701720 + 204701721.

It is an arithmetic number, because the mean of its divisors is an integer number (204701721).

Almost surely, 2^409403441 is an apocalyptic number.

It is an amenable number.

409403441 is a deficient number, since it is larger than the sum of its proper divisors (1).

409403441 is an equidigital number, since it uses as much as digits as its factorization.

409403441 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 409403441 is about 20233.7203944307. The cubic root of 409403441 is about 742.5353993107.

The spelling of 409403441 in words is "four hundred nine million, four hundred three thousand, four hundred forty-one".