540006304 has 24 divisors (see below), whose sum is σ = 1066205700. Its totient is φ = 269223936.

The previous prime is 540006301. The next prime is 540006349. The reversal of 540006304 is 403600045.

It can be written as a sum of positive squares in 2 ways, for example, as 526610704 + 13395600 = 22948^2 + 3660^2 .

It is a super-3 number, since 3×540006304³ (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (540006301) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13009 + ... + 35344.

Almost surely, 2^540006304 is an apocalyptic number.

It is an amenable number.

540006304 is a deficient number, since it is larger than the sum of its proper divisors (526199396).

540006304 is a wasteful number, since it uses less digits than its factorization.

540006304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48712 (or 48704 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 540006304 is about 23238.0357173320. The cubic root of 540006304 is about 814.3284537974.

Adding to 540006304 its reverse (403600045), we get a palindrome (943606349).

The spelling of 540006304 in words is "five hundred forty million, six thousand, three hundred four".