540500 has 48 divisors (see below), whose sum is σ = 1257984. Its totient is φ = 202400.

The previous prime is 540469. The next prime is 540509. The reversal of 540500 is 5045.

540500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540509) by changing a digit.

540500 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 15 ways as a sum of consecutive naturals, for example, 11477 + ... + 11523.

It is an arithmetic number, because the mean of its divisors is an integer number (26208).

2⁵⁴⁰⁵⁰⁰ is an apocalyptic number.

540500 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628992).

540500 is an abundant number, since it is smaller than the sum of its proper divisors (717484).

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

540500 is a wasteful number, since it uses less digits than its factorization.

540500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 14.

The square root of 540500 is about 735.1870510285. The cubic root of 540500 is about 81.4576542410.

Adding to 540500 its reverse (5045), we get a palindrome (545545).

It can be divided in two parts, 5 and 40500, that multiplied together give a square (202500 = 450²).

The spelling of 540500 in words is "five hundred forty thousand, five hundred".