457845 has 16 divisors (see below), whose sum is σ = 741312. Its totient is φ = 241280.

The previous prime is 457837. The next prime is 457871. The reversal of 457845 is 548754.

It is not a de Polignac number, because 457845 - 2³ = 457837 is a prime.

457845 is a lucky number.

It is a congruent number.

It is an unprimeable number.

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, 1849 + ... + 2081.

It is an arithmetic number, because the mean of its divisors is an integer number (46332).

2⁴⁵⁷⁸⁴⁵ is an apocalyptic number.

It is an amenable number.

457845 is a deficient number, since it is larger than the sum of its proper divisors (283467).

457845 is a wasteful number, since it uses less digits than its factorization.

457845 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372.

The product of its digits is 22400, while the sum is 33.

The square root of 457845 is about 676.6424462004. The cubic root of 457845 is about 77.0736911890.

Subtracting 457845 from its reverse (548754), we obtain a palindrome (90909).

The spelling of 457845 in words is "four hundred fifty-seven thousand, eight hundred forty-five".