4258409 has 2 divisors, whose sum is σ = 4258410. Its totient is φ = 4258408.

The previous prime is 4258403. The next prime is 4258411. The reversal of 4258409 is 9048524.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3988009 + 270400 = 1997^2 + 520^2 .

It is a cyclic number.

It is not a de Polignac number, because 4258409 - 2⁴ = 4258393 is a prime.

It is a super-2 number, since 2×4258409² = 36268094422562, which contains 22 as substring.

It is a Sophie Germain prime.

Together with 4258411, 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 (4258403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2129204 + 2129205.

It is an arithmetic number, because the mean of its divisors is an integer number (2129205).

Almost surely, 2^4258409 is an apocalyptic number.

It is an amenable number.

4258409 is a deficient number, since it is larger than the sum of its proper divisors (1).

4258409 is an equidigital number, since it uses as much as digits as its factorization.

4258409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 4258409 is about 2063.5912870527. The cubic root of 4258409 is about 162.0873506463.

The spelling of 4258409 in words is "four million, two hundred fifty-eight thousand, four hundred nine".