48220800 has 96 divisors (see below), whose sum is σ = 158858880. Its totient is φ = 12856320.

The previous prime is 48220769. The next prime is 48220813. The reversal of 48220800 is 802284.

48220800 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 (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 7089 + ... + 12111.

It is an arithmetic number, because the mean of its divisors is an integer number (1654780).

Almost surely, 2^48220800 is an apocalyptic number.

48220800 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 48220800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79429440).

48220800 is an abundant number, since it is smaller than the sum of its proper divisors (110638080).

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

48220800 is a wasteful number, since it uses less digits than its factorization.

48220800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5050 (or 5033 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 48220800 is about 6944.1198146345. The cubic root of 48220800 is about 363.9805166080.

The spelling of 48220800 in words is "forty-eight million, two hundred twenty thousand, eight hundred".