409723381 has 2 divisors, whose sum is σ = 409723382. Its totient is φ = 409723380.

The previous prime is 409723319. The next prime is 409723427. The reversal of 409723381 is 183327904.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 308318481 + 101404900 = 17559^2 + 10070^2 .

It is a cyclic number.

It is not a de Polignac number, because 409723381 - 2⁷ = 409723253 is a prime.

It is a super-2 number, since 2×409723381² = 335746497876142322, which contains 22 as substring.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 409723381.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (409723481) 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, 204861690 + 204861691.

It is an arithmetic number, because the mean of its divisors is an integer number (204861691).

Almost surely, 2^409723381 is an apocalyptic number.

It is an amenable number.

409723381 is a deficient number, since it is larger than the sum of its proper divisors (1).

409723381 is an equidigital number, since it uses as much as digits as its factorization.

409723381 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 409723381 is about 20241.6249594740. The cubic root of 409723381 is about 742.7287741046.

The spelling of 409723381 in words is "four hundred nine million, seven hundred twenty-three thousand, three hundred eighty-one".