54481200 has 120 divisors (see below), whose sum is σ = 176947008. Its totient is φ = 14327040.

The previous prime is 54481199. The next prime is 54481213. The reversal of 54481200 is 218445.

54481200 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 (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 99327 + ... + 99873.

Almost surely, 2^54481200 is an apocalyptic number.

54481200 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 54481200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88473504).

54481200 is an abundant number, since it is smaller than the sum of its proper divisors (122465808).

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

54481200 is a wasteful number, since it uses less digits than its factorization.

54481200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 54481200 is about 7381.1381236229. The cubic root of 54481200 is about 379.0957261048.

Adding to 54481200 its reverse (218445), we get a palindrome (54699645).

The spelling of 54481200 in words is "fifty-four million, four hundred eighty-one thousand, two hundred".