54375200 has 144 divisors (see below), whose sum is σ = 149615424. Its totient is φ = 19123200.

The previous prime is 54375187. The next prime is 54375227. The reversal of 54375200 is 257345.

54375200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 54375200.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 325517 + ... + 325683.

It is an arithmetic number, because the mean of its divisors is an integer number (1038996).

Almost surely, 2^54375200 is an apocalyptic number.

54375200 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 54375200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74807712).

54375200 is an abundant number, since it is smaller than the sum of its proper divisors (95240224).

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

54375200 is a wasteful number, since it uses less digits than its factorization.

54375200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 26.

The square root of 54375200 is about 7373.9541631339. The cubic root of 54375200 is about 378.8497070727.

The spelling of 54375200 in words is "fifty-four million, three hundred seventy-five thousand, two hundred".