457128 has 48 divisors (see below), whose sum is σ = 1416480. Its totient is φ = 130464.

The previous prime is 457117. The next prime is 457139. The reversal of 457128 is 821754.

It is an interprime number because it is at equal distance from previous prime (457117) and next prime (457139).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 51 + ... + 957.

It is an arithmetic number, because the mean of its divisors is an integer number (29510).

2⁴⁵⁷¹²⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 457128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708240).

457128 is an abundant number, since it is smaller than the sum of its proper divisors (959352).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

457128 is a wasteful number, since it uses less digits than its factorization.

457128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 926 (or 919 counting only the distinct ones).

The product of its digits is 2240, while the sum is 27.

The square root of 457128 is about 676.1124166882. The cubic root of 457128 is about 77.0334368752.

It can be divided in two parts, 457 and 128, that added together give a palindrome (585).

The spelling of 457128 in words is "four hundred fifty-seven thousand, one hundred twenty-eight".