457899 has 16 divisors (see below), whose sum is σ = 672000. Its totient is φ = 275616.

The previous prime is 457889. The next prime is 457903. The reversal of 457899 is 998754.

It is not a de Polignac number, because 457899 - 2⁸ = 457643 is a prime.

457899 is a lucky number.

It is a plaindrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 457899.

It is not an unprimeable number, because it can be changed into a prime (457829) 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 in 15 ways as a sum of consecutive naturals, for example, 2202 + ... + 2400.

It is an arithmetic number, because the mean of its divisors is an integer number (42000).

2⁴⁵⁷⁸⁹⁹ is an apocalyptic number.

457899 is a deficient number, since it is larger than the sum of its proper divisors (214101).

457899 is a wasteful number, since it uses less digits than its factorization.

With its successor (457900) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (274).

457899 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274.

The product of its digits is 90720, while the sum is 42.

The square root of 457899 is about 676.6823479300. The cubic root of 457899 is about 77.0767211924.

The spelling of 457899 in words is "four hundred fifty-seven thousand, eight hundred ninety-nine".