540507744 has 288 divisors, whose sum is σ = 1880686080. Its totient is φ = 143824896.

The previous prime is 540507743. The next prime is 540507757. The reversal of 540507744 is 447705045.

540507744 is a `hidden beast` number, since 540 + 5 + 0 + 77 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 540507699 and 540507708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540507743) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3945244 + ... + 3945380.

It is an arithmetic number, because the mean of its divisors is an integer number (6530160).

Almost surely, 2^540507744 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 540507744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (940343040).

540507744 is an abundant number, since it is smaller than the sum of its proper divisors (1340178336).

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

540507744 is a wasteful number, since it uses less digits than its factorization.

540507744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 36.

The square root of 540507744 is about 23248.8224217916. The cubic root of 540507744 is about 814.5804326666.

The spelling of 540507744 in words is "five hundred forty million, five hundred seven thousand, seven hundred forty-four".