540546048 has 440 divisors, whose sum is σ = 1981496000. Its totient is φ = 146313216.

The previous prime is 540546047. The next prime is 540546073. The reversal of 540546048 is 840645045.

540546048 is a `hidden beast` number, since 5 + 40 + 5 + 4 + 604 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540546043) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 28449783 + ... + 28449801.

It is an arithmetic number, because the mean of its divisors is an integer number (4503400).

Almost surely, 2^540546048 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 540546048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (990748000).

540546048 is an abundant number, since it is smaller than the sum of its proper divisors (1440949952).

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

540546048 is an equidigital number, since it uses as much as digits as its factorization.

540546048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 540546048 is about 23249.6461908563. The cubic root of 540546048 is about 814.5996744211.

The spelling of 540546048 in words is "five hundred forty million, five hundred forty-six thousand, forty-eight".