457004 has 12 divisors (see below), whose sum is σ = 818664. Its totient is φ = 223104.

The previous prime is 457003. The next prime is 457013. The reversal of 457004 is 400754.

It is not an unprimeable number, because it can be changed into a prime (457001) 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, 1157 + ... + 1500.

It is an arithmetic number, because the mean of its divisors is an integer number (68222).

2⁴⁵⁷⁰⁰⁴ is an apocalyptic number.

It is an amenable number.

457004 is a deficient number, since it is larger than the sum of its proper divisors (361660).

457004 is a wasteful number, since it uses less digits than its factorization.

457004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2704 (or 2702 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 20.

The square root of 457004 is about 676.0207097419. The cubic root of 457004 is about 77.0264709123.

Adding to 457004 its reverse (400754), we get a palindrome (857758).

The spelling of 457004 in words is "four hundred fifty-seven thousand, four".