540405405 has 64 divisors (see below), whose sum is σ = 985651200. Its totient is φ = 280834560.

The previous prime is 540405403. The next prime is 540405407. The reversal of 540405405 is 504504045.

It is an interprime number because it is at equal distance from previous prime (540405403) and next prime (540405407).

It is not a de Polignac number, because 540405405 - 2¹ = 540405403 is a prime.

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

540405405 is a modest number, since divided by 405405 gives 540 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540405403) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1127956 + ... + 1128434.

It is an arithmetic number, because the mean of its divisors is an integer number (15400800).

Almost surely, 2^540405405 is an apocalyptic number.

It is an amenable number.

540405405 is a deficient number, since it is larger than the sum of its proper divisors (445245795).

540405405 is a wasteful number, since it uses less digits than its factorization.

540405405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 691 (or 685 counting only the distinct ones).

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

The square root of 540405405 is about 23246.6213674160. The cubic root of 540405405 is about 814.5290189051.

The spelling of 540405405 in words is "five hundred forty million, four hundred five thousand, four hundred five".