540503000 has 64 divisors (see below), whose sum is σ = 1295723520. Its totient is φ = 210912000.

The previous prime is 540502997. The next prime is 540503009. The reversal of 540503000 is 305045.

540503000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 540503000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540503009) 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, 34409 + ... + 47591.

It is an arithmetic number, because the mean of its divisors is an integer number (20245680).

Almost surely, 2^540503000 is an apocalyptic number.

540503000 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 540503000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647861760).

540503000 is an abundant number, since it is smaller than the sum of its proper divisors (755220520).

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

540503000 is a wasteful number, since it uses less digits than its factorization.

540503000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13245 (or 13231 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 17.

The square root of 540503000 is about 23248.7203948949. The cubic root of 540503000 is about 814.5780494872.

Adding to 540503000 its reverse (305045), we get a palindrome (540808045).

The spelling of 540503000 in words is "five hundred forty million, five hundred three thousand".