48438800 has 60 divisors (see below), whose sum is σ = 117857040. Its totient is φ = 19128960.

The previous prime is 48438799. The next prime is 48438829. The reversal of 48438800 is 883484.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32471 + ... + 33929.

It is an arithmetic number, because the mean of its divisors is an integer number (1964284).

Almost surely, 2^48438800 is an apocalyptic number.

48438800 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 48438800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58928520).

48438800 is an abundant number, since it is smaller than the sum of its proper divisors (69418240).

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

48438800 is a wasteful number, since it uses less digits than its factorization.

48438800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1560 (or 1549 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 35.

The square root of 48438800 is about 6959.7988476679. The cubic root of 48438800 is about 364.5281950538.

The spelling of 48438800 in words is "forty-eight million, four hundred thirty-eight thousand, eight hundred".