47538880 has 56 divisors (see below), whose sum is σ = 115378992. Its totient is φ = 18650112.

The previous prime is 47538857. The next prime is 47538889. The reversal of 47538880 is 8883574.

It is a happy number.

It is a super-2 number, since 2×47538880² = 4519890223308800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (47538889) 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 7 ways as a sum of consecutive naturals, for example, 15559 + ... + 18361.

Almost surely, 2^47538880 is an apocalyptic number.

47538880 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 47538880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57689496).

47538880 is an abundant number, since it is smaller than the sum of its proper divisors (67840112).

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

47538880 is a wasteful number, since it uses less digits than its factorization.

47538880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2873 (or 2863 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 43.

The square root of 47538880 is about 6894.8444507472. The cubic root of 47538880 is about 362.2566071269.

The spelling of 47538880 in words is "forty-seven million, five hundred thirty-eight thousand, eight hundred eighty".