540525900 has 72 divisors (see below), whose sum is σ = 1583787520. Its totient is φ = 142309440.

The previous prime is 540525899. The next prime is 540525913. The reversal of 540525900 is 9525045.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 23 ways as a sum of consecutive naturals, for example, 12297 + ... + 35103.

Almost surely, 2^540525900 is an apocalyptic number.

540525900 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 540525900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791893760).

540525900 is an abundant number, since it is smaller than the sum of its proper divisors (1043261620).

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

540525900 is a wasteful number, since it uses less digits than its factorization.

540525900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22903 (or 22896 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

The square root of 540525900 is about 23249.2128899023. The cubic root of 540525900 is about 814.5895533234.

The spelling of 540525900 in words is "five hundred forty million, five hundred twenty-five thousand, nine hundred".