47304800 has 72 divisors (see below), whose sum is σ = 119523600. Its totient is φ = 18260480.

The previous prime is 47304793. The next prime is 47304809. The reversal of 47304800 is 840374.

It is a self number, because there is not a number n which added to its sum of digits gives 47304800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47304809) 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, 22181 + ... + 24219.

It is an arithmetic number, because the mean of its divisors is an integer number (1660050).

Almost surely, 2^47304800 is an apocalyptic number.

47304800 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 47304800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59761800).

47304800 is an abundant number, since it is smaller than the sum of its proper divisors (72218800).

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

47304800 is a wasteful number, since it uses less digits than its factorization.

47304800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2088 (or 2075 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 47304800 is about 6877.8485008031. The cubic root of 47304800 is about 361.6610483765.

The spelling of 47304800 in words is "forty-seven million, three hundred four thousand, eight hundred".