540309 has 16 divisors (see below), whose sum is σ = 898560. Its totient is φ = 280560.

The previous prime is 540307. The next prime is 540343. The reversal of 540309 is 903045.

540309 = T₃₄₂ + T₃₄₃ + ... + T₃₅₀.

540309 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 540309 - 2¹ = 540307 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

540309 is a lucky number.

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 540309.

It is not an unprimeable number, because it can be changed into a prime (540301) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 939 + ... + 1400.

It is an arithmetic number, because the mean of its divisors is an integer number (56160).

2⁵⁴⁰³⁰⁹ is an apocalyptic number.

It is an amenable number.

540309 is a deficient number, since it is larger than the sum of its proper divisors (358251).

540309 is a wasteful number, since it uses less digits than its factorization.

540309 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2360.

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 540309 is about 735.0571406360. The cubic root of 540309 is about 81.4480580369.

The spelling of 540309 in words is "five hundred forty thousand, three hundred nine".