47415680 has 128 divisors (see below), whose sum is σ = 125949600. Its totient is φ = 16957440.

The previous prime is 47415679. The next prime is 47415707. The reversal of 47415680 is 8651474.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 47415680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 341051 + ... + 341189.

Almost surely, 2^47415680 is an apocalyptic number.

47415680 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 47415680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62974800).

47415680 is an abundant number, since it is smaller than the sum of its proper divisors (78533920).

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

47415680 is a wasteful number, since it uses less digits than its factorization.

47415680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 35.

The square root of 47415680 is about 6885.9044431360. The cubic root of 47415680 is about 361.9433994716.

The spelling of 47415680 in words is "forty-seven million, four hundred fifteen thousand, six hundred eighty".