409440133 has 2 divisors, whose sum is σ = 409440134. Its totient is φ = 409440132.

The previous prime is 409440041. The next prime is 409440151. The reversal of 409440133 is 331044904.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 277488964 + 131951169 = 16658^2 + 11487^2 .

It is a cyclic number.

It is not a de Polignac number, because 409440133 - 2⁹ = 409439621 is a prime.

It is a super-3 number, since 3×409440133³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (409440233) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 204720066 + 204720067.

It is an arithmetic number, because the mean of its divisors is an integer number (204720067).

Almost surely, 2^409440133 is an apocalyptic number.

It is an amenable number.

409440133 is a deficient number, since it is larger than the sum of its proper divisors (1).

409440133 is an equidigital number, since it uses as much as digits as its factorization.

409440133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 409440133 is about 20234.6270783526. The cubic root of 409440133 is about 742.5575814194.

The spelling of 409440133 in words is "four hundred nine million, four hundred forty thousand, one hundred thirty-three".