47798800 has 120 divisors (see below), whose sum is σ = 134632256. Its totient is φ = 15966720.

The previous prime is 47798797. The next prime is 47798801. The reversal of 47798800 is 889774.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is not an unprimeable number, because it can be changed into a prime (47798801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 120202 + ... + 120598.

Almost surely, 2^47798800 is an apocalyptic number.

47798800 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 47798800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67316128).

47798800 is an abundant number, since it is smaller than the sum of its proper divisors (86833456).

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

47798800 is a wasteful number, since it uses less digits than its factorization.

47798800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 43.

The square root of 47798800 is about 6913.6676229046. The cubic root of 47798800 is about 362.9156231676.

The spelling of 47798800 in words is "forty-seven million, seven hundred ninety-eight thousand, eight hundred".