540054200 has 96 divisors (see below), whose sum is σ = 1468536960. Its totient is φ = 180835200.

The previous prime is 540054161. The next prime is 540054217. The reversal of 540054200 is 2450045.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

540054200 is a modest number, since divided by 54200 gives 5400 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55715 + ... + 64685.

It is an arithmetic number, because the mean of its divisors is an integer number (15297260).

Almost surely, 2^540054200 is an apocalyptic number.

540054200 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 540054200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734268480).

540054200 is an abundant number, since it is smaller than the sum of its proper divisors (928482760).

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

540054200 is a wasteful number, since it uses less digits than its factorization.

540054200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9037 (or 9028 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 20.

The square root of 540054200 is about 23239.0662463017. The cubic root of 540054200 is about 814.3525287772.

The spelling of 540054200 in words is "five hundred forty million, fifty-four thousand, two hundred".