540540405 has 64 divisors (see below), whose sum is σ = 1024128000. Its totient is φ = 269718336.

The previous prime is 540540379. The next prime is 540540491. The reversal of 540540405 is 504045045.

It is not a de Polignac number, because 540540405 - 2⁷ = 540540277 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 211626 + ... + 214164.

It is an arithmetic number, because the mean of its divisors is an integer number (16002000).

Almost surely, 2^540540405 is an apocalyptic number.

It is an amenable number.

540540405 is a deficient number, since it is larger than the sum of its proper divisors (483587595).

540540405 is a wasteful number, since it uses less digits than its factorization.

540540405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2655 (or 2649 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 27.

The square root of 540540405 is about 23249.5248338541. The cubic root of 540540405 is about 814.5968397554.

The spelling of 540540405 in words is "five hundred forty million, five hundred forty thousand, four hundred five".