47680416 has 144 divisors (see below), whose sum is σ = 157719744. Its totient is φ = 13381632.

The previous prime is 47680397. The next prime is 47680441. The reversal of 47680416 is 61408674.

47680416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 134896 + ... + 135248.

It is an arithmetic number, because the mean of its divisors is an integer number (1095276).

Almost surely, 2^47680416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47680416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78859872).

47680416 is an abundant number, since it is smaller than the sum of its proper divisors (110039328).

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

47680416 is a wasteful number, since it uses less digits than its factorization.

47680416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 47680416 is about 6905.1007233783. The cubic root of 47680416 is about 362.6157626315.

The spelling of 47680416 in words is "forty-seven million, six hundred eighty thousand, four hundred sixteen".