540904005 has 18 divisors (see below), whose sum is σ = 937837446. Its totient is φ = 288398928.

The previous prime is 540903991. The next prime is 540904037. The reversal of 540904005 is 500409045.

It can be written as a sum of positive squares in only one way, i.e., 432723204 + 108180801 = 20802^2 + 10401^2 .

It is not a de Polignac number, because 540904005 - 2⁵ = 540903973 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 540904005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 154282 + ... + 157748.

Almost surely, 2^540904005 is an apocalyptic number.

It is an amenable number.

540904005 is a deficient number, since it is larger than the sum of its proper divisors (396933441).

540904005 is an frugal number, since it uses more digits than its factorization.

540904005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6945 (or 3475 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 540904005 is about 23257.3430339753. The cubic root of 540904005 is about 814.7794477664.

The spelling of 540904005 in words is "five hundred forty million, nine hundred four thousand, five".