47385600 has 132 divisors (see below), whose sum is σ = 156865704. Its totient is φ = 12615680.

The previous prime is 47385599. The next prime is 47385607. The reversal of 47385600 is 658374.

It is not an unprimeable number, because it can be changed into a prime (47385607) 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, 76492 + ... + 77108.

Almost surely, 2^47385600 is an apocalyptic number.

47385600 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 47385600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78432852).

47385600 is an abundant number, since it is smaller than the sum of its proper divisors (109480104).

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

47385600 is a wasteful number, since it uses less digits than its factorization.

47385600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 47385600 is about 6883.7199245757. The cubic root of 47385600 is about 361.8668456078.

The spelling of 47385600 in words is "forty-seven million, three hundred eighty-five thousand, six hundred".