540165504 has 64 divisors (see below), whose sum is σ = 1438200000. Its totient is φ = 179630592.

The previous prime is 540165499. The next prime is 540165517. The reversal of 540165504 is 405561045.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 190207 + ... + 193025.

It is an arithmetic number, because the mean of its divisors is an integer number (22471875).

Almost surely, 2^540165504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540165504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719100000).

540165504 is an abundant number, since it is smaller than the sum of its proper divisors (898034496).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

540165504 is a wasteful number, since it uses less digits than its factorization.

540165504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3335 (or 3323 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The square root of 540165504 is about 23241.4608835159. The cubic root of 540165504 is about 814.4084703645.

The spelling of 540165504 in words is "five hundred forty million, one hundred sixty-five thousand, five hundred four".