540016409 has 2 divisors, whose sum is σ = 540016410. Its totient is φ = 540016408.

The previous prime is 540016381. The next prime is 540016427. The reversal of 540016409 is 904610045.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 314175625 + 225840784 = 17725^2 + 15028^2 .

It is a cyclic number.

It is not a de Polignac number, because 540016409 - 2⁸ = 540016153 is a prime.

It is not a weakly prime, because it can be changed into another prime (540016459) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 270008204 + 270008205.

It is an arithmetic number, because the mean of its divisors is an integer number (270008205).

Almost surely, 2^540016409 is an apocalyptic number.

It is an amenable number.

540016409 is a deficient number, since it is larger than the sum of its proper divisors (1).

540016409 is an equidigital number, since it uses as much as digits as its factorization.

540016409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 540016409 is about 23238.2531400275. The cubic root of 540016409 is about 814.3335332058. Note that the first 3 decimals are identical.

The spelling of 540016409 in words is "five hundred forty million, sixteen thousand, four hundred nine".