47899200 has 168 divisors, whose sum is σ = 166676832. Its totient is φ = 12001280.

The previous prime is 47899141. The next prime is 47899211. The reversal of 47899200 is 299874.

It is an unprimeable number.

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, 81307 + ... + 81893.

It is an arithmetic number, because the mean of its divisors is an integer number (992124).

Almost surely, 2^47899200 is an apocalyptic number.

47899200 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 47899200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83338416).

47899200 is an abundant number, since it is smaller than the sum of its proper divisors (118777632).

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

47899200 is a wasteful number, since it uses less digits than its factorization.

47899200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 47899200 is about 6920.9247936963. The cubic root of 47899200 is about 363.1695433976.

The spelling of 47899200 in words is "forty-seven million, eight hundred ninety-nine thousand, two hundred".