47811200 has 96 divisors (see below), whose sum is σ = 120408960. Its totient is φ = 18754560.

The previous prime is 47811193. The next prime is 47811217. The reversal of 47811200 is 211874.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 214289 + ... + 214511.

It is an arithmetic number, because the mean of its divisors is an integer number (1254260).

Almost surely, 2^47811200 is an apocalyptic number.

47811200 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 47811200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60204480).

47811200 is an abundant number, since it is smaller than the sum of its proper divisors (72597760).

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

47811200 is a wasteful number, since it uses less digits than its factorization.

47811200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 23.

The square root of 47811200 is about 6914.5643391323. The cubic root of 47811200 is about 362.9470030672.

The spelling of 47811200 in words is "forty-seven million, eight hundred eleven thousand, two hundred".