459540 has 96 divisors (see below), whose sum is σ = 1532160. Its totient is φ = 114048.

The previous prime is 459523. The next prime is 459593. The reversal of 459540 is 45954.

It is a super-2 number, since 2×459540² = 422354023200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 12402 + ... + 12438.

It is an arithmetic number, because the mean of its divisors is an integer number (15960).

2⁴⁵⁹⁵⁴⁰ 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 459540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766080).

459540 is an abundant number, since it is smaller than the sum of its proper divisors (1072620).

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

459540 is a wasteful number, since it uses less digits than its factorization.

459540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 459540 is about 677.8937969918. The cubic root of 459540 is about 77.1686862363.

459540 divided by its sum of digits (27) gives a triangular number (17020 = T₁₈₄).

It can be divided in two parts, 459 and 540, that added together give a palindrome (999).

The spelling of 459540 in words is "four hundred fifty-nine thousand, five hundred forty".