48875200 has 84 divisors (see below), whose sum is σ = 131243832. Its totient is φ = 17766400.

The previous prime is 48875171. The next prime is 48875209. The reversal of 48875200 is 257884.

It is not an unprimeable number, because it can be changed into a prime (48875209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16212 + ... + 18988.

Almost surely, 2^48875200 is an apocalyptic number.

48875200 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 48875200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65621916).

48875200 is an abundant number, since it is smaller than the sum of its proper divisors (82368632).

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

48875200 is a wasteful number, since it uses less digits than its factorization.

48875200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2810 (or 2795 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 34.

The square root of 48875200 is about 6991.0800310109. The cubic root of 48875200 is about 365.6196392912.

The spelling of 48875200 in words is "forty-eight million, eight hundred seventy-five thousand, two hundred".