540309520 has 40 divisors (see below), whose sum is σ = 1290178584. Its totient is φ = 210281472.

The previous prime is 540309493. The next prime is 540309529. The reversal of 540309520 is 25903045.

It can be written as a sum of positive squares in 4 ways, for example, as 177635584 + 362673936 = 13328^2 + 19044^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (540309529) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 88309 + ... + 94228.

Almost surely, 2^540309520 is an apocalyptic number.

It is an amenable number.

540309520 is an abundant number, since it is smaller than the sum of its proper divisors (749869064).

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

540309520 is a wasteful number, since it uses less digits than its factorization.

540309520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182587 (or 182581 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 28.

The square root of 540309520 is about 23244.5589332213. The cubic root of 540309520 is about 814.4808416578.

The spelling of 540309520 in words is "five hundred forty million, three hundred nine thousand, five hundred twenty".