47805720 has 128 divisors (see below), whose sum is σ = 150958080. Its totient is φ = 12096000.

The previous prime is 47805701. The next prime is 47805757. The reversal of 47805720 is 2750874.

47805720 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 31 ways as a sum of consecutive naturals, for example, 264030 + ... + 264210.

It is an arithmetic number, because the mean of its divisors is an integer number (1179360).

Almost surely, 2^47805720 is an apocalyptic number.

47805720 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 47805720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75479040).

47805720 is an abundant number, since it is smaller than the sum of its proper divisors (103152360).

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

47805720 is a wasteful number, since it uses less digits than its factorization.

47805720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 33.

The square root of 47805720 is about 6914.1680627535. The cubic root of 47805720 is about 362.9331358453.

The spelling of 47805720 in words is "forty-seven million, eight hundred five thousand, seven hundred twenty".