54248800 has 144 divisors (see below), whose sum is σ = 144365760. Its totient is φ = 19837440.

The previous prime is 54248759. The next prime is 54248801. The reversal of 54248800 is 884245.

54248800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54248801) by changing a digit.

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, 653559 + ... + 653641.

It is an arithmetic number, because the mean of its divisors is an integer number (1002540).

Almost surely, 2^54248800 is an apocalyptic number.

54248800 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 54248800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72182880).

54248800 is an abundant number, since it is smaller than the sum of its proper divisors (90116960).

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

54248800 is a wasteful number, since it uses less digits than its factorization.

54248800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 31.

The square root of 54248800 is about 7365.3784695696. The cubic root of 54248800 is about 378.5559226726. Note that the first 3 decimals are identical.

The spelling of 54248800 in words is "fifty-four million, two hundred forty-eight thousand, eight hundred".