459928 has 32 divisors (see below), whose sum is σ = 1013760. Its totient is φ = 191520.

The previous prime is 459923. The next prime is 459929. The reversal of 459928 is 829954.

459928 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (459923) by changing a digit.

459928 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2313 + ... + 2503.

It is an arithmetic number, because the mean of its divisors is an integer number (31680).

459928 is a Friedman number, since it can be written as (92*5^4-9)*8, using all its digits and the basic arithmetic operations.

2⁴⁵⁹⁹²⁸ 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 459928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506880).

459928 is an abundant number, since it is smaller than the sum of its proper divisors (553832).

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

459928 is a wasteful number, since it uses less digits than its factorization.

459928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 243 counting only the distinct ones).

The product of its digits is 25920, while the sum is 37.

The square root of 459928 is about 678.1799171311. The cubic root of 459928 is about 77.1903985482.

The spelling of 459928 in words is "four hundred fifty-nine thousand, nine hundred twenty-eight".