47968800 has 288 divisors, whose sum is σ = 179988480. Its totient is φ = 10982400.

The previous prime is 47968759. The next prime is 47968853. The reversal of 47968800 is 886974.

It is a happy number.

47968800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 607161 + ... + 607239.

It is an arithmetic number, because the mean of its divisors is an integer number (624960).

Almost surely, 2^47968800 is an apocalyptic number.

47968800 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 47968800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89994240).

47968800 is an abundant number, since it is smaller than the sum of its proper divisors (132019680).

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

47968800 is a wasteful number, since it uses less digits than its factorization.

47968800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 47968800 is about 6925.9511982110. The cubic root of 47968800 is about 363.3453596072.

The spelling of 47968800 in words is "forty-seven million, nine hundred sixty-eight thousand, eight hundred".