540280 has 32 divisors (see below), whose sum is σ = 1310400. Its totient is φ = 199296.

The previous prime is 540271. The next prime is 540283. The reversal of 540280 is 82045.

It is a happy number.

540280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

540280 is a nontrivial binomial coefficient, being equal to C(1040, 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540283) by changing a digit.

540280 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1 + ... + 1039.

It is an arithmetic number, because the mean of its divisors is an integer number (40950).

2⁵⁴⁰²⁸⁰ is an apocalyptic number.

540280 is the 1039-th triangular number and also the 520-th hexagonal number.

540280 is the 347-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655200).

540280 is an abundant number, since it is smaller than the sum of its proper divisors (770120).

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

540280 is a wasteful number, since it uses less digits than its factorization.

With its successor (540281) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (1063).

540280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1063 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 540280 is about 735.0374140137. The cubic root of 540280 is about 81.4466008239.

It can be divided in two parts, 540 and 280, that added together give a triangular number (820 = T₄₀).

The spelling of 540280 in words is "five hundred forty thousand, two hundred eighty".