458729 has 2 divisors, whose sum is σ = 458730. Its totient is φ = 458728.

The previous prime is 458719. The next prime is 458747. The reversal of 458729 is 927854.

It is a happy number.

458729 is nontrivially palindromic in base 8.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 458329 + 400 = 677^2 + 20^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-458729 is a prime.

It is a Sophie Germain prime.

It is an alternating number because its digits alternate between even and odd.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 458729.

It is not a weakly prime, because it can be changed into another prime (458719) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 229364 + 229365.

It is an arithmetic number, because the mean of its divisors is an integer number (229365).

458729 is a Friedman number, since it can be written as 9+7*4^8-2^5, using all its digits and the basic arithmetic operations.

2⁴⁵⁸⁷²⁹ is an apocalyptic number.

It is an amenable number.

458729 is a deficient number, since it is larger than the sum of its proper divisors (1).

458729 is an equidigital number, since it uses as much as digits as its factorization.

458729 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 20160, while the sum is 35.

The square root of 458729 is about 677.2953565469. The cubic root of 458729 is about 77.1232635260.

The spelling of 458729 in words is "four hundred fifty-eight thousand, seven hundred twenty-nine".