540540000 has 960 divisors, whose sum is σ = 2645153280. Its totient is φ = 103680000.

The previous prime is 540539957. The next prime is 540540031. The reversal of 540540000 is 45045.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 41579994 + ... + 41580006.

It is an arithmetic number, because the mean of its divisors is an integer number (2755368).

Almost surely, 2^540540000 is an apocalyptic number.

540540000 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 540540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1322576640).

540540000 is an abundant number, since it is smaller than the sum of its proper divisors (2104613280).

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

540540000 is a wasteful number, since it uses less digits than its factorization.

540540000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 540540000 is about 23249.5161239971. The cubic root of 540540000 is about 814.5966363098.

Adding to 540540000 its reverse (45045), we get a palindrome (540585045).

The spelling of 540540000 in words is "five hundred forty million, five hundred forty thousand".