540415681 has 16 divisors (see below), whose sum is σ = 587059200. Its totient is φ = 494521920.

The previous prime is 540415663. The next prime is 540415693. The reversal of 540415681 is 186514045.

It is a cyclic number.

It is not a de Polignac number, because 540415681 - 2⁵ = 540415649 is a prime.

It is a super-2 number, since 2×540415681² = 584098216541387522, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (540415661) 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 15 ways as a sum of consecutive naturals, for example, 1410816 + ... + 1411198.

It is an arithmetic number, because the mean of its divisors is an integer number (36691200).

Almost surely, 2^540415681 is an apocalyptic number.

It is an amenable number.

540415681 is a deficient number, since it is larger than the sum of its proper divisors (46643519).

540415681 is a wasteful number, since it uses less digits than its factorization.

540415681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1056.

The product of its (nonzero) digits is 19200, while the sum is 34.

The square root of 540415681 is about 23246.8423877309. The cubic root of 540415681 is about 814.5341817249.

The spelling of 540415681 in words is "five hundred forty million, four hundred fifteen thousand, six hundred eighty-one".