540824760 has 576 divisors, whose sum is σ = 2253588480. Its totient is φ = 111767040.

The previous prime is 540824749. The next prime is 540824777. The reversal of 540824760 is 67428045.

540824760 is a `hidden beast` number, since 5 + 408 + 247 + 6 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12577299 + ... + 12577341.

It is an arithmetic number, because the mean of its divisors is an integer number (3912480).

Almost surely, 2^540824760 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 540824760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1126794240).

540824760 is an abundant number, since it is smaller than the sum of its proper divisors (1712763720).

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

540824760 is a wasteful number, since it uses less digits than its factorization.

540824760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 540824760 is about 23255.6393160885. The cubic root of 540824760 is about 814.7396561397.

The spelling of 540824760 in words is "five hundred forty million, eight hundred twenty-four thousand, seven hundred sixty".