540306580 has 96 divisors (see below), whose sum is σ = 1329229440. Its totient is φ = 182292480.

The previous prime is 540306577. The next prime is 540306589. The reversal of 540306580 is 85603045.

540306580 is digitally balanced in base 6, 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 (540306589) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 272031 + ... + 274009.

It is an arithmetic number, because the mean of its divisors is an integer number (13846140).

Almost surely, 2^540306580 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540306580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664614720).

540306580 is an abundant number, since it is smaller than the sum of its proper divisors (788922860).

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

540306580 is a wasteful number, since it uses less digits than its factorization.

540306580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2089 (or 2087 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

The square root of 540306580 is about 23244.4956925290. The cubic root of 540306580 is about 814.4793643699.

The spelling of 540306580 in words is "five hundred forty million, three hundred six thousand, five hundred eighty".