47382800 has 30 divisors (see below), whose sum is σ = 113838138. Its totient is φ = 18952960.

The previous prime is 47382779. The next prime is 47382809. The reversal of 47382800 is 828374.

It can be written as a sum of positive squares in 3 ways, for example, as 15618304 + 31764496 = 3952^2 + 5636^2 .

It is a zygodrome in base 5.

It is not an unprimeable number, because it can be changed into a prime (47382809) 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, 58829 + ... + 59628.

Almost surely, 2^47382800 is an apocalyptic number.

47382800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47382800 is an abundant number, since it is smaller than the sum of its proper divisors (66455338).

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

47382800 is a wasteful number, since it uses less digits than its factorization.

47382800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118475 (or 118464 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 47382800 is about 6883.5165431631. The cubic root of 47382800 is about 361.8597179352.

The spelling of 47382800 in words is "forty-seven million, three hundred eighty-two thousand, eight hundred".