48481200 has 180 divisors, whose sum is σ = 175171080. Its totient is φ = 12735360.

The previous prime is 48481189. The next prime is 48481201. The reversal of 48481200 is 218484.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

48481200 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 (180).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (48481201) 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 35 ways as a sum of consecutive naturals, for example, 723567 + ... + 723633.

Almost surely, 2^48481200 is an apocalyptic number.

48481200 is a gapful number since it is divisible by the number (40) 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 48481200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87585540).

48481200 is an abundant number, since it is smaller than the sum of its proper divisors (126689880).

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

48481200 is a wasteful number, since it uses less digits than its factorization.

48481200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 48481200 is about 6962.8442464269. The cubic root of 48481200 is about 364.6345250204.

Multiplying 48481200 by its sum of digits (27), we get a square (1308992400 = 36180²).

48481200 divided by its sum of digits (27) gives a square (1795600 = 1340²).

Adding to 48481200 its reverse (218484), we get a palindrome (48699684).

The spelling of 48481200 in words is "forty-eight million, four hundred eighty-one thousand, two hundred".