47887200 has 180 divisors, whose sum is σ = 174871620. Its totient is φ = 12752640.

The previous prime is 47887171. The next prime is 47887211. The reversal of 47887200 is 278874.

47887200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 64431 + ... + 65169.

It is an arithmetic number, because the mean of its divisors is an integer number (971509).

Almost surely, 2^47887200 is an apocalyptic number.

47887200 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 47887200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87435810).

47887200 is an abundant number, since it is smaller than the sum of its proper divisors (126984420).

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

47887200 is a wasteful number, since it uses less digits than its factorization.

47887200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 47887200 is about 6920.0578032268. The cubic root of 47887200 is about 363.1392130475.

It can be divided in two parts, 478 and 87200, that added together give a palindrome (87678).

The spelling of 47887200 in words is "forty-seven million, eight hundred eighty-seven thousand, two hundred".