47880960 has 144 divisors (see below), whose sum is σ = 157518816. Its totient is φ = 12386304.

The previous prime is 47880949. The next prime is 47880961. The reversal of 47880960 is 6908874.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (47880961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141912 + ... + 142248.

Almost surely, 2^47880960 is an apocalyptic number.

47880960 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 47880960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78759408).

47880960 is an abundant number, since it is smaller than the sum of its proper divisors (109637856).

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

47880960 is a wasteful number, since it uses less digits than its factorization.

47880960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 47880960 is about 6919.6069252523. The cubic root of 47880960 is about 363.1234392630.

The spelling of 47880960 in words is "forty-seven million, eight hundred eighty thousand, nine hundred sixty".