48859200 has 420 divisors, whose sum is σ = 200078340. Its totient is φ = 11612160.

The previous prime is 48859177. The next prime is 48859219. The reversal of 48859200 is 295884.

It can be written as a sum of positive squares in 6 ways, for example, as 4981824 + 43877376 = 2232^2 + 6624^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1684786 + ... + 1684814.

It is an arithmetic number, because the mean of its divisors is an integer number (476377).

Almost surely, 2^48859200 is an apocalyptic number.

48859200 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 48859200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100039170).

48859200 is an abundant number, since it is smaller than the sum of its proper divisors (151219140).

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

48859200 is a wasteful number, since it uses less digits than its factorization.

48859200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 48859200 is about 6989.9356220211. The cubic root of 48859200 is about 365.5797379868.

The spelling of 48859200 in words is "forty-eight million, eight hundred fifty-nine thousand, two hundred".