457921 has 4 divisors (see below), whose sum is σ = 467712. Its totient is φ = 448132.

The previous prime is 457913. The next prime is 457943. The reversal of 457921 is 129754.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 129754 = 2 ⋅64877.

It is a cyclic number.

It is not a de Polignac number, because 457921 - 2³ = 457913 is a prime.

It is a Duffinian number.

457921 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 457921.

It is not an unprimeable number, because it can be changed into a prime (457981) 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, 4825 + ... + 4918.

It is an arithmetic number, because the mean of its divisors is an integer number (116928).

2⁴⁵⁷⁹²¹ is an apocalyptic number.

It is an amenable number.

457921 is a deficient number, since it is larger than the sum of its proper divisors (9791).

457921 is an equidigital number, since it uses as much as digits as its factorization.

457921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9790.

The product of its digits is 2520, while the sum is 28.

The square root of 457921 is about 676.6986035156. The cubic root of 457921 is about 77.0779555700.

It can be divided in two parts, 457 and 921, that added together give a triangular number (1378 = T₅₂).

The spelling of 457921 in words is "four hundred fifty-seven thousand, nine hundred twenty-one".