540864000 has 320 divisors, whose sum is σ = 2004425280. Its totient is φ = 143769600.

The previous prime is 540863987. The next prime is 540864011. The reversal of 540864000 is 468045.

540864000 is a `hidden beast` number, since 540 + 86 + 40 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1727844 + ... + 1728156.

It is an arithmetic number, because the mean of its divisors is an integer number (6263829).

Almost surely, 2^540864000 is an apocalyptic number.

540864000 is a gapful number since it is divisible by the number (50) 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 540864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1002212640).

540864000 is an abundant number, since it is smaller than the sum of its proper divisors (1463561280).

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

540864000 is an equidigital number, since it uses as much as digits as its factorization.

540864000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 540864000 is about 23256.4829671212. The cubic root of 540864000 is about 814.7593603725.

It can be divided in two parts, 540 and 864000, that multiplied together give a square (466560000 = 21600²).

The spelling of 540864000 in words is "five hundred forty million, eight hundred sixty-four thousand".