47885760 has 168 divisors, whose sum is σ = 177515520. Its totient is φ = 11778048.

The previous prime is 47885759. The next prime is 47885767. The reversal of 47885760 is 6758874.

47885760 is a `hidden beast` number, since 4 + 78 + 8 + 576 + 0 = 666.

47885760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47885767) 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 23 ways as a sum of consecutive naturals, for example, 36801 + ... + 38079.

It is an arithmetic number, because the mean of its divisors is an integer number (1056640).

Almost surely, 2^47885760 is an apocalyptic number.

47885760 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 47885760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88757760).

47885760 is an abundant number, since it is smaller than the sum of its proper divisors (129629760).

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

47885760 is a wasteful number, since it uses less digits than its factorization.

47885760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1315 (or 1302 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 47885760 is about 6919.9537570709. The cubic root of 47885760 is about 363.1355730651.

The spelling of 47885760 in words is "forty-seven million, eight hundred eighty-five thousand, seven hundred sixty".