459616 has 24 divisors (see below), whose sum is σ = 925344. Its totient is φ = 224640.

The previous prime is 459611. The next prime is 459619. The reversal of 459616 is 616954.

It is a super-2 number, since 2×459616² = 422493734912, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (459611) by changing a digit.

459616 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 3 ways as a sum of consecutive naturals, for example, 1561 + ... + 1831.

It is an arithmetic number, because the mean of its divisors is an integer number (38556).

2⁴⁵⁹⁶¹⁶ 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 459616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462672).

459616 is an abundant number, since it is smaller than the sum of its proper divisors (465728).

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

459616 is a wasteful number, since it uses less digits than its factorization.

459616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 326 counting only the distinct ones).

The product of its digits is 6480, while the sum is 31.

The square root of 459616 is about 677.9498506527. The cubic root of 459616 is about 77.1729401256.

It can be divided in two parts, 4596 and 16, that multiplied together give a triangular number (73536 = T₃₈₃).

The spelling of 459616 in words is "four hundred fifty-nine thousand, six hundred sixteen".