540517824 has 252 divisors, whose sum is σ = 1967212728. Its totient is φ = 140313600.

The previous prime is 540517823. The next prime is 540517837. The reversal of 540517824 is 428715045.

It is a tau number, because it is divible by the number of its divisors (252).

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 (540517823) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 309594 + ... + 311334.

Almost surely, 2^540517824 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 540517824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (983606364).

540517824 is an abundant number, since it is smaller than the sum of its proper divisors (1426694904).

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

540517824 is a wasteful number, since it uses less digits than its factorization.

540517824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1784 (or 1764 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 540517824 is about 23249.0392059543. The cubic root of 540517824 is about 814.5854963744.

The spelling of 540517824 in words is "five hundred forty million, five hundred seventeen thousand, eight hundred twenty-four".