540005760 has 384 divisors, whose sum is σ = 2176761600. Its totient is φ = 120803328.

The previous prime is 540005749. The next prime is 540005761. The reversal of 540005760 is 67500045.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540005761) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2378767 + ... + 2378993.

It is an arithmetic number, because the mean of its divisors is an integer number (5668650).

Almost surely, 2^540005760 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 540005760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1088380800).

540005760 is an abundant number, since it is smaller than the sum of its proper divisors (1636755840).

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

540005760 is a wasteful number, since it uses less digits than its factorization.

540005760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 540005760 is about 23238.0240123811. The cubic root of 540005760 is about 814.3281803470.

The spelling of 540005760 in words is "five hundred forty million, five thousand, seven hundred sixty".