47860800 has 252 divisors, whose sum is σ = 172913040. Its totient is φ = 11581440.

The previous prime is 47860781. The next prime is 47860801. The reversal of 47860800 is 806874.

It is not an unprimeable number, because it can be changed into a prime (47860801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 811171 + ... + 811229.

Almost surely, 2^47860800 is an apocalyptic number.

47860800 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 47860800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86456520).

47860800 is an abundant number, since it is smaller than the sum of its proper divisors (125052240).

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

47860800 is a wasteful number, since it uses less digits than its factorization.

47860800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 47860800 is about 6918.1500417380. The cubic root of 47860800 is about 363.0724684373.

The spelling of 47860800 in words is "forty-seven million, eight hundred sixty thousand, eight hundred".