540015840 has 432 divisors, whose sum is σ = 2287722528. Its totient is φ = 113577984.

The previous prime is 540015803. The next prime is 540015869. The reversal of 540015840 is 48510045.

540015840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1703362 + ... + 1703678.

It is an arithmetic number, because the mean of its divisors is an integer number (5295654).

Almost surely, 2^540015840 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 540015840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1143861264).

540015840 is an abundant number, since it is smaller than the sum of its proper divisors (1747706688).

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

540015840 is a wasteful number, since it uses less digits than its factorization.

540015840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 540015840 is about 23238.2408972796. The cubic root of 540015840 is about 814.3332471923. Note that the first 3 decimals are identical.

Adding to 540015840 its reverse (48510045), we get a palindrome (588525885).

The spelling of 540015840 in words is "five hundred forty million, fifteen thousand, eight hundred forty".