47648480 has 48 divisors (see below), whose sum is σ = 122807664. Its totient is φ = 17326080.

The previous prime is 47648473. The next prime is 47648483. The reversal of 47648480 is 8484674.

47648480 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 not an unprimeable number, because it can be changed into a prime (47648483) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 11777 + ... + 15296.

It is an arithmetic number, because the mean of its divisors is an integer number (2558493).

Almost surely, 2^47648480 is an apocalyptic number.

47648480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47648480 is an abundant number, since it is smaller than the sum of its proper divisors (75159184).

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

47648480 is a wasteful number, since it uses less digits than its factorization.

47648480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27099 (or 27091 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 41.

The square root of 47648480 is about 6902.7878426039. The cubic root of 47648480 is about 362.5347854055.

The spelling of 47648480 in words is "forty-seven million, six hundred forty-eight thousand, four hundred eighty".