457889 has 2 divisors, whose sum is σ = 457890. Its totient is φ = 457888.

The previous prime is 457871. The next prime is 457903. The reversal of 457889 is 988754.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 270400 + 187489 = 520^2 + 433^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-457889 is a prime.

It is a Chen prime.

It is a d-powerful number, because it can be written as 4² + 5⁸ + 8⁴ + 7 + 8⁴ + 9⁵ .

It is a plaindrome in base 10.

It is not a weakly prime, because it can be changed into another prime (457829) 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, 228944 + 228945.

It is an arithmetic number, because the mean of its divisors is an integer number (228945).

2⁴⁵⁷⁸⁸⁹ is an apocalyptic number.

It is an amenable number.

457889 is a deficient number, since it is larger than the sum of its proper divisors (1).

457889 is an equidigital number, since it uses as much as digits as its factorization.

457889 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 80640, while the sum is 41.

The square root of 457889 is about 676.6749588983. The cubic root of 457889 is about 77.0761600987.

The spelling of 457889 in words is "four hundred fifty-seven thousand, eight hundred eighty-nine".