459728 has 20 divisors (see below), whose sum is σ = 907680. Its totient is φ = 225504.

The previous prime is 459703. The next prime is 459749. The reversal of 459728 is 827954.

It is a happy number.

It is a super-3 number, since 3×459728³ = 291490309433389056, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

459728 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 701 + ... + 1187.

It is an arithmetic number, because the mean of its divisors is an integer number (45384).

2⁴⁵⁹⁷²⁸ is an apocalyptic number.

It is an amenable number.

459728 is a deficient number, since it is larger than the sum of its proper divisors (447952).

459728 is a wasteful number, since it uses less digits than its factorization.

459728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554 (or 548 counting only the distinct ones).

The product of its digits is 20160, while the sum is 35.

The square root of 459728 is about 678.0324476011. The cubic root of 459728 is about 77.1792081604.

The spelling of 459728 in words is "four hundred fifty-nine thousand, seven hundred twenty-eight".