54259200 has 240 divisors, whose sum is σ = 200426160. Its totient is φ = 14376960.

The previous prime is 54259199. The next prime is 54259211. The reversal of 54259200 is 295245.

54259200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

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 (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 345522 + ... + 345678.

It is an arithmetic number, because the mean of its divisors is an integer number (835109).

Almost surely, 2^54259200 is an apocalyptic number.

54259200 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 54259200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100213080).

54259200 is an abundant number, since it is smaller than the sum of its proper divisors (146166960).

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

54259200 is a wasteful number, since it uses less digits than its factorization.

54259200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 54259200 is about 7366.0844415469. The cubic root of 54259200 is about 378.5801120251.

The spelling of 54259200 in words is "fifty-four million, two hundred fifty-nine thousand, two hundred".