47468800 has 54 divisors (see below), whose sum is σ = 117508538. Its totient is φ = 18984960.

The previous prime is 47468791. The next prime is 47468807. The reversal of 47468800 is 886474.

It can be written as a sum of positive squares in 3 ways, for example, as 7929856 + 39538944 = 2816^2 + 6288^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 47468800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47468807) 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, 2692 + ... + 10108.

Almost surely, 2^47468800 is an apocalyptic number.

47468800 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 47468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58754269).

47468800 is an abundant number, since it is smaller than the sum of its proper divisors (70039738).

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

47468800 is an equidigital number, since it uses as much as digits as its factorization.

47468800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7443 (or 7424 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 37.

The square root of 47468800 is about 6889.7605183344. The cubic root of 47468800 is about 362.0785113025.

The spelling of 47468800 in words is "forty-seven million, four hundred sixty-eight thousand, eight hundred".