540515900 has 36 divisors (see below), whose sum is σ = 1189455120. Its totient is φ = 213158400.

The previous prime is 540515887. The next prime is 540515903. The reversal of 540515900 is 9515045.

540515900 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 (540515903) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30965 + ... + 45164.

It is an arithmetic number, because the mean of its divisors is an integer number (33040420).

Almost surely, 2^540515900 is an apocalyptic number.

540515900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

540515900 is an abundant number, since it is smaller than the sum of its proper divisors (648939220).

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

540515900 is a wasteful number, since it uses less digits than its factorization.

540515900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76214 (or 76207 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 29.

The square root of 540515900 is about 23248.9978278635. The cubic root of 540515900 is about 814.5845298541.

The spelling of 540515900 in words is "five hundred forty million, five hundred fifteen thousand, nine hundred".