47884800 has 240 divisors, whose sum is σ = 167444640. Its totient is φ = 12042240.

The previous prime is 47884799. The next prime is 47884841. The reversal of 47884800 is 848874.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1113579 + ... + 1113621.

It is an arithmetic number, because the mean of its divisors is an integer number (697686).

Almost surely, 2^47884800 is an apocalyptic number.

47884800 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 47884800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83722320).

47884800 is an abundant number, since it is smaller than the sum of its proper divisors (119559840).

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

47884800 is a wasteful number, since it uses less digits than its factorization.

47884800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 39.

The square root of 47884800 is about 6919.8843920979. The cubic root of 47884800 is about 363.1331463695.

It can be divided in two parts, 47884 and 800, that added together give a palindrome (48684).

The spelling of 47884800 in words is "forty-seven million, eight hundred eighty-four thousand, eight hundred".