47306880 has 192 divisors, whose sum is σ = 168030720. Its totient is φ = 12257280.

The previous prime is 47306879. The next prime is 47306887. The reversal of 47306880 is 8860374.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is not an unprimeable number, because it can be changed into a prime (47306887) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 247585 + ... + 247775.

It is an arithmetic number, because the mean of its divisors is an integer number (875160).

Almost surely, 2^47306880 is an apocalyptic number.

47306880 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 47306880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84015360).

47306880 is an abundant number, since it is smaller than the sum of its proper divisors (120723840).

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

47306880 is a wasteful number, since it uses less digits than its factorization.

47306880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 244 counting only the distinct ones).

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

The square root of 47306880 is about 6877.9997092178. Note that the first 3 decimals coincide. The cubic root of 47306880 is about 361.6663490645. Note that the first 3 decimals are identical.

The spelling of 47306880 in words is "forty-seven million, three hundred six thousand, eight hundred eighty".