540323784 has 640 divisors, whose sum is σ = 2195424000. Its totient is φ = 121927680.

The previous prime is 540323783. The next prime is 540323827. The reversal of 540323784 is 487323045.

It is a happy number.

540323784 is a `hidden beast` number, since 540 + 3 + 2 + 37 + 84 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (540323783) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 31783744 + ... + 31783760.

It is an arithmetic number, because the mean of its divisors is an integer number (3430350).

Almost surely, 2^540323784 is an apocalyptic number.

540323784 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540323784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1097712000).

540323784 is an abundant number, since it is smaller than the sum of its proper divisors (1655100216).

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

540323784 is a wasteful number, since it uses less digits than its factorization.

540323784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 540323784 is about 23244.8657556889. The cubic root of 540323784 is about 814.4880089400.

The spelling of 540323784 in words is "five hundred forty million, three hundred twenty-three thousand, seven hundred eighty-four".