540729 has 16 divisors (see below), whose sum is σ = 915840. Its totient is φ = 308880.

The previous prime is 540713. The next prime is 540751. The reversal of 540729 is 927045.

It is not a de Polignac number, because 540729 - 2⁴ = 540713 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

540729 is a modest number, since divided by 729 gives 540 as remainder.

It is not an unprimeable number, because it can be changed into a prime (540769) 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, 1242 + ... + 1619.

It is an arithmetic number, because the mean of its divisors is an integer number (57240).

2⁵⁴⁰⁷²⁹ is an apocalyptic number.

It is an amenable number.

540729 is a deficient number, since it is larger than the sum of its proper divisors (375111).

540729 is a wasteful number, since it uses less digits than its factorization.

540729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2877 (or 2871 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 540729 is about 735.3427772135. The cubic root of 540729 is about 81.4691566579.

The spelling of 540729 in words is "five hundred forty thousand, seven hundred twenty-nine".