47852800 has 54 divisors (see below), whose sum is σ = 118458998. Its totient is φ = 19138560.

The previous prime is 47852797. The next prime is 47852801. The reversal of 47852800 is 825874.

It can be written as a sum of positive squares in 3 ways, for example, as 12616704 + 35236096 = 3552^2 + 5936^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47852801) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2662 + ... + 10138.

Almost surely, 2^47852800 is an apocalyptic number.

47852800 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 47852800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59229499).

47852800 is an abundant number, since it is smaller than the sum of its proper divisors (70606198).

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

47852800 is an equidigital number, since it uses as much as digits as its factorization.

47852800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7503 (or 7484 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 34.

The square root of 47852800 is about 6917.5718283224. The cubic root of 47852800 is about 363.0522379523.

The spelling of 47852800 in words is "forty-seven million, eight hundred fifty-two thousand, eight hundred".