540255600 has 360 divisors, whose sum is σ = 1995681792. Its totient is φ = 135129600.

The previous prime is 540255593. The next prime is 540255601. The reversal of 540255600 is 6552045.

540255600 is a `hidden beast` number, since 5 + 4 + 0 + 2 + 55 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×540255600² = 583752226662720000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540255601) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5245149 + ... + 5245251.

Almost surely, 2^540255600 is an apocalyptic number.

540255600 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 540255600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (997840896).

540255600 is an abundant number, since it is smaller than the sum of its proper divisors (1455426192).

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

540255600 is a wasteful number, since it uses less digits than its factorization.

540255600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 540255600 is about 23243.3990629598. The cubic root of 540255600 is about 814.4537471460.

The spelling of 540255600 in words is "five hundred forty million, two hundred fifty-five thousand, six hundred".