47643200 has 84 divisors (see below), whose sum is σ = 127936752. Its totient is φ = 17318400.

The previous prime is 47643191. The next prime is 47643209. The reversal of 47643200 is 234674.

It is a happy number.

47643200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (47643191) and next prime (47643209).

It is a self number, because there is not a number n which added to its sum of digits gives 47643200.

It is not an unprimeable number, because it can be changed into a prime (47643209) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 16247 + ... + 18953.

Almost surely, 2^47643200 is an apocalyptic number.

47643200 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 47643200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63968376).

47643200 is an abundant number, since it is smaller than the sum of its proper divisors (80293552).

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

47643200 is a wasteful number, since it uses less digits than its factorization.

47643200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2740 (or 2725 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 26.

The square root of 47643200 is about 6902.4053778375. The cubic root of 47643200 is about 362.5213939018.

Adding to 47643200 its reverse (234674), we get a palindrome (47877874).

The spelling of 47643200 in words is "forty-seven million, six hundred forty-three thousand, two hundred".