459780 has 48 divisors (see below), whose sum is σ = 1317120. Its totient is φ = 119808.

The previous prime is 459763. The next prime is 459791. The reversal of 459780 is 87954.

459780 is nontrivially palindromic in base 11.

It is a super-2 number, since 2×459780² = 422795296800, which contains 22 as substring.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 459780.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4692 + ... + 4788.

It is an arithmetic number, because the mean of its divisors is an integer number (27440).

2⁴⁵⁹⁷⁸⁰ 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 459780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658560).

459780 is an abundant number, since it is smaller than the sum of its proper divisors (857340).

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

459780 is a wasteful number, since it uses less digits than its factorization.

459780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 459780 is about 678.0707927643. The cubic root of 459780 is about 77.1821179734.

The spelling of 459780 in words is "four hundred fifty-nine thousand, seven hundred eighty".