540225000 has 360 divisors, whose sum is σ = 2133437670. Its totient is φ = 123480000.

The previous prime is 540224983. The next prime is 540225011. The reversal of 540225000 is 522045.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

540225000 is digitally balanced in base 6, 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 3 ways, for example, as 777924 + 539447076 = 882^2 + 23226^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 77174997 + ... + 77175003.

Almost surely, 2^540225000 is an apocalyptic number.

540225000 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 540225000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1066718835).

540225000 is an abundant number, since it is smaller than the sum of its proper divisors (1593212670).

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

540225000 is an frugal number, since it uses more digits than its factorization.

540225000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 17 counting only the distinct ones).

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

The square root of 540225000 is about 23242.7408022376. The cubic root of 540225000 is about 814.4383700077.

Adding to 540225000 its reverse (522045), we get a palindrome (540747045).

The spelling of 540225000 in words is "five hundred forty million, two hundred twenty-five thousand".