540005407 has 2 divisors, whose sum is σ = 540005408. Its totient is φ = 540005406.

The previous prime is 540005377. The next prime is 540005423. The reversal of 540005407 is 704500045.

540005407 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-540005407 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (540005107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 270002703 + 270002704.

It is an arithmetic number, because the mean of its divisors is an integer number (270002704).

Almost surely, 2^540005407 is an apocalyptic number.

540005407 is a deficient number, since it is larger than the sum of its proper divisors (1).

540005407 is an equidigital number, since it uses as much as digits as its factorization.

540005407 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2800, while the sum is 25.

The square root of 540005407 is about 23238.0164170697. The cubic root of 540005407 is about 814.3280029057.

The spelling of 540005407 in words is "five hundred forty million, five thousand, four hundred seven".