47711200 has 72 divisors (see below), whose sum is σ = 121585968. Its totient is φ = 18247680.

The previous prime is 47711179. The next prime is 47711203. The reversal of 47711200 is 211774.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47711203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17104 + ... + 19696.

It is an arithmetic number, because the mean of its divisors is an integer number (1688694).

Almost surely, 2^47711200 is an apocalyptic number.

47711200 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 47711200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60792984).

47711200 is an abundant number, since it is smaller than the sum of its proper divisors (73874768).

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

47711200 is a wasteful number, since it uses less digits than its factorization.

47711200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2636 (or 2623 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 22.

The square root of 47711200 is about 6907.3294405291. The cubic root of 47711200 is about 362.6937846168.

Adding to 47711200 its reverse (211774), we get a palindrome (47922974).

The spelling of 47711200 in words is "forty-seven million, seven hundred eleven thousand, two hundred".