47688480 has 384 divisors, whose sum is σ = 203212800. Its totient is φ = 10202112.

The previous prime is 47688469. The next prime is 47688521. The reversal of 47688480 is 8488674.

47688480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-5 number, since 5×47688480⁵ (a number of 40 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 63 ways as a sum of consecutive naturals, for example, 574519 + ... + 574601.

It is an arithmetic number, because the mean of its divisors is an integer number (529200).

Almost surely, 2^47688480 is an apocalyptic number.

47688480 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 47688480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101606400).

47688480 is an abundant number, since it is smaller than the sum of its proper divisors (155524320).

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

47688480 is a wasteful number, since it uses less digits than its factorization.

47688480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 47688480 is about 6905.6846148662. The cubic root of 47688480 is about 362.6362040686.

The spelling of 47688480 in words is "forty-seven million, six hundred eighty-eight thousand, four hundred eighty".