4459 has 8 divisors (see below), whose sum is σ = 5600. Its totient is φ = 3528.

The previous prime is 4457. The next prime is 4463. The reversal of 4459 is 9544.

It is not a de Polignac number, because 4459 - 2¹ = 4457 is a prime.

Its product of digits (720) is a multiple of the sum of its prime divisors (20).

It is a plaindrome in base 10 and base 16.

It is not an unprimeable number, because it can be changed into a prime (4451) by changing a digit.

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, 337 + ... + 349.

It is an arithmetic number, because the mean of its divisors is an integer number (700).

2⁴⁴⁵⁹ is an apocalyptic number.

4459 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

4459 is a deficient number, since it is larger than the sum of its proper divisors (1141).

4459 is an equidigital number, since it uses as much as digits as its factorization.

4459 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34 (or 20 counting only the distinct ones).

The product of its digits is 720, while the sum is 22.

The square root of 4459 is about 66.7757440992. The cubic root of 4459 is about 16.4593428140.

It can be divided in two parts, 445 and 9, that multiplied together give a triangular number (4005 = T₈₉).

The spelling of 4459 in words is "four thousand, four hundred fifty-nine".