744085409 has 2 divisors, whose sum is σ = 744085410. Its totient is φ = 744085408.

The previous prime is 744085369. The next prime is 744085411. The reversal of 744085409 is 904580447.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 549761809 + 194323600 = 23447^2 + 13940^2 .

It is a cyclic number.

It is not a de Polignac number, because 744085409 - 2¹⁶ = 744019873 is a prime.

It is a Sophie Germain prime.

Together with 744085411, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (744085439) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 372042704 + 372042705.

It is an arithmetic number, because the mean of its divisors is an integer number (372042705).

Almost surely, 2^744085409 is an apocalyptic number.

It is an amenable number.

744085409 is a deficient number, since it is larger than the sum of its proper divisors (1).

744085409 is an equidigital number, since it uses as much as digits as its factorization.

744085409 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 161280, while the sum is 41.

The square root of 744085409 is about 27277.9289719729. The cubic root of 744085409 is about 906.1656516090.

The spelling of 744085409 in words is "seven hundred forty-four million, eighty-five thousand, four hundred nine".