457789 has 2 divisors, whose sum is σ = 457790. Its totient is φ = 457788.

The previous prime is 457757. The next prime is 457799. The reversal of 457789 is 987754.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 293764 + 164025 = 542^2 + 405^2 .

It is a cyclic number.

It is not a de Polignac number, because 457789 - 2⁵ = 457757 is a prime.

It is a Chen prime.

It is a plaindrome in base 10.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (457739) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 228894 + 228895.

It is an arithmetic number, because the mean of its divisors is an integer number (228895).

2⁴⁵⁷⁷⁸⁹ is an apocalyptic number.

It is an amenable number.

457789 is a deficient number, since it is larger than the sum of its proper divisors (1).

457789 is an equidigital number, since it uses as much as digits as its factorization.

457789 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 70560, while the sum is 40.

The square root of 457789 is about 676.6010641434. The cubic root of 457789 is about 77.0705487116.

The spelling of 457789 in words is "four hundred fifty-seven thousand, seven hundred eighty-nine".