540417824 has 24 divisors (see below), whose sum is σ = 1064519820. Its totient is φ = 270063616.

The previous prime is 540417803. The next prime is 540417827. The reversal of 540417824 is 428714045.

It can be written as a sum of positive squares in 2 ways, for example, as 522945424 + 17472400 = 22868^2 + 4180^2 .

It is not an unprimeable number, because it can be changed into a prime (540417827) 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 3 ways as a sum of consecutive naturals, for example, 80252 + ... + 86724.

Almost surely, 2^540417824 is an apocalyptic number.

It is an amenable number.

540417824 is a deficient number, since it is larger than the sum of its proper divisors (524101996).

540417824 is a wasteful number, since it uses less digits than its factorization.

540417824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9092 (or 9084 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 35.

The square root of 540417824 is about 23246.8884799665. Note that the first 3 decimals coincide. The cubic root of 540417824 is about 814.5352583927.

The spelling of 540417824 in words is "five hundred forty million, four hundred seventeen thousand, eight hundred twenty-four".