459712 has 28 divisors (see below), whose sum is σ = 996696. Its totient is φ = 208640.

The previous prime is 459703. The next prime is 459749. The reversal of 459712 is 217954.

It is a happy number.

It is a super-2 number, since 2×459712² = 422670245888, which contains 22 as substring.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable 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 3 ways as a sum of consecutive naturals, for example, 378 + ... + 1030.

2⁴⁵⁹⁷¹² 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 459712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498348).

459712 is an abundant number, since it is smaller than the sum of its proper divisors (536984).

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

459712 is a wasteful number, since it uses less digits than its factorization.

459712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 666 counting only the distinct ones).

The product of its digits is 2520, while the sum is 28.

The square root of 459712 is about 678.0206486531. The cubic root of 459712 is about 77.1783127892.

Subtracting from 459712 its sum of digits (28), we obtain a square (459684 = 678²).

The spelling of 459712 in words is "four hundred fifty-nine thousand, seven hundred twelve".