458009 has 2 divisors, whose sum is σ = 458010. Its totient is φ = 458008.

The previous prime is 457987. The next prime is 458027. The reversal of 458009 is 900854.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 235225 + 222784 = 485^2 + 472^2 .

It is a cyclic number.

It is not a de Polignac number, because 458009 - 2¹² = 453913 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (458039) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 229004 + 229005.

It is an arithmetic number, because the mean of its divisors is an integer number (229005).

2⁴⁵⁸⁰⁰⁹ is an apocalyptic number.

It is an amenable number.

458009 is a deficient number, since it is larger than the sum of its proper divisors (1).

458009 is an equidigital number, since it uses as much as digits as its factorization.

458009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 458009 is about 676.7636219538. The cubic root of 458009 is about 77.0828926848.

The spelling of 458009 in words is "four hundred fifty-eight thousand, nine".