540468 has 18 divisors (see below), whose sum is σ = 1366274. Its totient is φ = 180144.

The previous prime is 540461. The next prime is 540469. The reversal of 540468 is 864045.

540468 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 501264 + 39204 = 708^2 + 198^2 .

It is a tau number, because it is divible by the number of its divisors (18).

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 540468.

It is not an unprimeable number, because it can be changed into a prime (540461) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7471 + ... + 7542.

2⁵⁴⁰⁴⁶⁸ is an apocalyptic number.

It is an amenable number.

540468 is an abundant number, since it is smaller than the sum of its proper divisors (825806).

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

540468 is a wasteful number, since it uses less digits than its factorization.

540468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15023 (or 15018 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 540468 is about 735.1652875374. The cubic root of 540468 is about 81.4560466577.

The spelling of 540468 in words is "five hundred forty thousand, four hundred sixty-eight".