540813824 has 40 divisors (see below), whose sum is σ = 1098947520. Its totient is φ = 265808896.

The previous prime is 540813811. The next prime is 540813829. The reversal of 540813824 is 428318045.

It is not an unprimeable number, because it can be changed into a prime (540813829) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 21257 + ... + 39159.

It is an arithmetic number, because the mean of its divisors is an integer number (27473688).

Almost surely, 2^540813824 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 540813824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549473760).

540813824 is an abundant number, since it is smaller than the sum of its proper divisors (558133696).

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

540813824 is an equidigital number, since it uses as much as digits as its factorization.

540813824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17980 (or 17964 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 35.

The square root of 540813824 is about 23255.4041891342. The cubic root of 540813824 is about 814.7341644946.

The spelling of 540813824 in words is "five hundred forty million, eight hundred thirteen thousand, eight hundred twenty-four".