457041 has 8 divisors (see below), whose sum is σ = 656320. Its totient is φ = 281232.

The previous prime is 457021. The next prime is 457043. The reversal of 457041 is 140754.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 457041 - 2⁹ = 456529 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 456999 and 457017.

It is not an unprimeable number, because it can be changed into a prime (457043) 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 7 ways as a sum of consecutive naturals, for example, 5821 + ... + 5898.

It is an arithmetic number, because the mean of its divisors is an integer number (82040).

2⁴⁵⁷⁰⁴¹ is an apocalyptic number.

It is an amenable number.

457041 is a deficient number, since it is larger than the sum of its proper divisors (199279).

457041 is a wasteful number, since it uses less digits than its factorization.

457041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11735.

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 457041 is about 676.0480752136. The cubic root of 457041 is about 77.0285495976.

Adding to 457041 its reverse (140754), we get a palindrome (597795).

The spelling of 457041 in words is "four hundred fifty-seven thousand, forty-one".