47748800 has 84 divisors (see below), whose sum is σ = 128220216. Its totient is φ = 17356800.

The previous prime is 47748751. The next prime is 47748809. The reversal of 47748800 is 884774.

It is not an unprimeable number, because it can be changed into a prime (47748809) by changing a digit.

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, 16244 + ... + 18956.

Almost surely, 2^47748800 is an apocalyptic number.

47748800 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 47748800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64110108).

47748800 is an abundant number, since it is smaller than the sum of its proper divisors (80471416).

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

47748800 is a wasteful number, since it uses less digits than its factorization.

47748800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2746 (or 2731 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 38.

The square root of 47748800 is about 6910.0506510445. The cubic root of 47748800 is about 362.7890362242.

It can be divided in two parts, 47 and 748800, that added together give a palindrome (748847).

The spelling of 47748800 in words is "forty-seven million, seven hundred forty-eight thousand, eight hundred".