47116800 has 180 divisors, whose sum is σ = 169030290. Its totient is φ = 12533760.

The previous prime is 47116781. The next prime is 47116813. The reversal of 47116800 is 861174.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 43243776 + 3873024 = 6576^2 + 1968^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 114996 + ... + 115404.

Almost surely, 2^47116800 is an apocalyptic number.

47116800 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 47116800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84515145).

47116800 is an abundant number, since it is smaller than the sum of its proper divisors (121913490).

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

47116800 is a wasteful number, since it uses less digits than its factorization.

47116800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 47116800 is about 6864.1678301160. The cubic root of 47116800 is about 361.1813046103.

Adding to 47116800 its reverse (861174), we get a palindrome (47977974).

It can be divided in two parts, 4711 and 6800, that added together give a palindrome (11511).

The spelling of 47116800 in words is "forty-seven million, one hundred sixteen thousand, eight hundred".