48447600 has 120 divisors (see below), whose sum is σ = 158680320. Its totient is φ = 12629760.

The previous prime is 48447583. The next prime is 48447611. The reversal of 48447600 is 674484.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55971 + ... + 56829.

It is an arithmetic number, because the mean of its divisors is an integer number (1322336).

Almost surely, 2^48447600 is an apocalyptic number.

48447600 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 48447600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79340160).

48447600 is an abundant number, since it is smaller than the sum of its proper divisors (110232720).

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

48447600 is a wasteful number, since it uses less digits than its factorization.

48447600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 927 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 48447600 is about 6960.4310211366. The cubic root of 48447600 is about 364.5502686386.

It can be divided in two parts, 484 and 47600, that added together give a palindrome (48084).

The spelling of 48447600 in words is "forty-eight million, four hundred forty-seven thousand, six hundred".