48861200 has 120 divisors (see below), whose sum is σ = 126206208. Its totient is φ = 18135040.

The previous prime is 48861193. The next prime is 48861203. The reversal of 48861200 is 216884.

It is not an unprimeable number, because it can be changed into a prime (48861203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 432344 + ... + 432456.

Almost surely, 2^48861200 is an apocalyptic number.

48861200 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 48861200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63103104).

48861200 is an abundant number, since it is smaller than the sum of its proper divisors (77345008).

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

48861200 is a wasteful number, since it uses less digits than its factorization.

48861200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 48861200 is about 6990.0786833912. The cubic root of 48861200 is about 365.5847261262.

Subtracting from 48861200 its reverse (216884), we obtain a triangular number (48644316 = T₉₈₆₃).

The spelling of 48861200 in words is "forty-eight million, eight hundred sixty-one thousand, two hundred".