48975200 has 72 divisors (see below), whose sum is σ = 123742080. Its totient is φ = 18905600.

The previous prime is 48975193. The next prime is 48975221. The reversal of 48975200 is 257984.

It is a happy number.

48975200 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 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 11 ways as a sum of consecutive naturals, for example, 22145 + ... + 24255.

It is an arithmetic number, because the mean of its divisors is an integer number (1718640).

Almost surely, 2^48975200 is an apocalyptic number.

48975200 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 48975200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61871040).

48975200 is an abundant number, since it is smaller than the sum of its proper divisors (74766880).

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

48975200 is a wasteful number, since it uses less digits than its factorization.

48975200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2160 (or 2147 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 35.

The square root of 48975200 is about 6998.2283472319. The cubic root of 48975200 is about 365.8688253586.

The spelling of 48975200 in words is "forty-eight million, nine hundred seventy-five thousand, two hundred".