47820300 has 144 divisors (see below), whose sum is σ = 154906752. Its totient is φ = 11289600.

The previous prime is 47820287. The next prime is 47820301. The reversal of 47820300 is 302874.

47820300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47820301) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 141732 + ... + 142068.

Almost surely, 2^47820300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47820300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77453376).

47820300 is an abundant number, since it is smaller than the sum of its proper divisors (107086452).

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

47820300 is a wasteful number, since it uses less digits than its factorization.

47820300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 47820300 is about 6915.2223391587. Note that the first 3 decimals coincide. The cubic root of 47820300 is about 362.9700284128.

The spelling of 47820300 in words is "forty-seven million, eight hundred twenty thousand, three hundred".