540609 has 8 divisors (see below), whose sum is σ = 744192. Its totient is φ = 348720.

The previous prime is 540599. The next prime is 540611. The reversal of 540609 is 906045.

540609 is nontrivially palindromic in base 2.

540609 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 540609 - 2⁵ = 540577 is a prime.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

540609 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (540619) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2814 + ... + 2999.

It is an arithmetic number, because the mean of its divisors is an integer number (93024).

2⁵⁴⁰⁶⁰⁹ is an apocalyptic number.

It is an amenable number.

540609 is a deficient number, since it is larger than the sum of its proper divisors (203583).

540609 is a wasteful number, since it uses less digits than its factorization.

540609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5847.

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 540609 is about 735.2611780857. The cubic root of 540609 is about 81.4631295957.

The spelling of 540609 in words is "five hundred forty thousand, six hundred nine".