409416233 has 2 divisors, whose sum is σ = 409416234. Its totient is φ = 409416232.

The previous prime is 409416223. The next prime is 409416239. The reversal of 409416233 is 332614904.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 292170649 + 117245584 = 17093^2 + 10828^2 .

It is a cyclic number.

It is not a de Polignac number, because 409416233 - 2¹² = 409412137 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 409416233.

It is not a weakly prime, because it can be changed into another prime (409416239) 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, 204708116 + 204708117.

It is an arithmetic number, because the mean of its divisors is an integer number (204708117).

Almost surely, 2^409416233 is an apocalyptic number.

It is an amenable number.

409416233 is a deficient number, since it is larger than the sum of its proper divisors (1).

409416233 is an equidigital number, since it uses as much as digits as its factorization.

409416233 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15552, while the sum is 32.

The square root of 409416233 is about 20234.0364979408. The cubic root of 409416233 is about 742.5431328509.

It can be divided in two parts, 40941 and 6233, that added together give a palindrome (47174).

The spelling of 409416233 in words is "four hundred nine million, four hundred sixteen thousand, two hundred thirty-three".