540459 has 16 divisors (see below), whose sum is σ = 823840. Its totient is φ = 349920.

The previous prime is 540437. The next prime is 540461. The reversal of 540459 is 954045.

It is not a de Polignac number, because 540459 - 2⁸ = 540203 is a prime.

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

It is a Duffinian number.

540459 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (540469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 729 + ... + 1269.

It is an arithmetic number, because the mean of its divisors is an integer number (51490).

2⁵⁴⁰⁴⁵⁹ is an apocalyptic number.

540459 is a deficient number, since it is larger than the sum of its proper divisors (283381).

540459 is a wasteful number, since it uses less digits than its factorization.

540459 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587 (or 581 counting only the distinct ones).

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

The square root of 540459 is about 735.1591664395. The cubic root of 540459 is about 81.4555945135.

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

The spelling of 540459 in words is "five hundred forty thousand, four hundred fifty-nine".