457873 has 4 divisors (see below), whose sum is σ = 493108. Its totient is φ = 422640.

The previous prime is 457871. The next prime is 457889. The reversal of 457873 is 378754.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 378754 = 2 ⋅189377.

It can be written as a sum of positive squares in 2 ways, for example, as 258064 + 199809 = 508^2 + 447^2 .

It is a cyclic number.

It is not a de Polignac number, because 457873 - 2¹ = 457871 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (457871) 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 in 3 ways as a sum of consecutive naturals, for example, 17598 + ... + 17623.

It is an arithmetic number, because the mean of its divisors is an integer number (123277).

2⁴⁵⁷⁸⁷³ is an apocalyptic number.

It is an amenable number.

457873 is a deficient number, since it is larger than the sum of its proper divisors (35235).

457873 is a wasteful number, since it uses less digits than its factorization.

457873 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35234.

The product of its digits is 23520, while the sum is 34.

The square root of 457873 is about 676.6631362798. The cubic root of 457873 is about 77.0752623316.

The spelling of 457873 in words is "four hundred fifty-seven thousand, eight hundred seventy-three".