47799600 has 120 divisors (see below), whose sum is σ = 155866512. Its totient is φ = 12518400.

The previous prime is 47799599. The next prime is 47799629. The reversal of 47799600 is 699774.

47799600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72874 + ... + 73526.

Almost surely, 2^47799600 is an apocalyptic number.

47799600 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 47799600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77933256).

47799600 is an abundant number, since it is smaller than the sum of its proper divisors (108066912).

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

47799600 is a wasteful number, since it uses less digits than its factorization.

47799600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 42.

The square root of 47799600 is about 6913.7254790742. The cubic root of 47799600 is about 362.9176478410.

The spelling of 47799600 in words is "forty-seven million, seven hundred ninety-nine thousand, six hundred".