457204 has 12 divisors (see below), whose sum is σ = 872928. Its totient is φ = 207800.

The previous prime is 457201. The next prime is 457213. The reversal of 457204 is 402754.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457201) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 5152 + ... + 5239.

It is an arithmetic number, because the mean of its divisors is an integer number (72744).

2⁴⁵⁷²⁰⁴ is an apocalyptic number.

457204 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

457204 is a deficient number, since it is larger than the sum of its proper divisors (415724).

457204 is a wasteful number, since it uses less digits than its factorization.

457204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10406 (or 10404 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 22.

The square root of 457204 is about 676.1686180236. The cubic root of 457204 is about 77.0377057137.

Adding to 457204 its reverse (402754), we get a palindrome (859958).

The spelling of 457204 in words is "four hundred fifty-seven thousand, two hundred four".