540805500 has 144 divisors (see below), whose sum is σ = 1743041664. Its totient is φ = 141091200.

The previous prime is 540805471. The next prime is 540805501. The reversal of 540805500 is 5508045.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540805501) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 210222 + ... + 212778.

It is an arithmetic number, because the mean of its divisors is an integer number (12104456).

Almost surely, 2^540805500 is an apocalyptic number.

540805500 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 540805500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (871520832).

540805500 is an abundant number, since it is smaller than the sum of its proper divisors (1202236164).

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

540805500 is a wasteful number, since it uses less digits than its factorization.

540805500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2629 (or 2614 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The square root of 540805500 is about 23255.2252192921. The cubic root of 540805500 is about 814.7299844474.

The spelling of 540805500 in words is "five hundred forty million, eight hundred five thousand, five hundred".