4871923200 has 600 divisors, whose sum is σ = 18664495872. Its totient is φ = 1254113280.

The previous prime is 4871923183. The next prime is 4871923201. The reversal of 4871923200 is 23291784.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4871923201) 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 59 ways as a sum of consecutive naturals, for example, 38361537 + ... + 38361663.

Almost surely, 2^4871923200 is an apocalyptic number.

4871923200 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 4871923200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9332247936).

4871923200 is an abundant number, since it is smaller than the sum of its proper divisors (13792572672).

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

4871923200 is a wasteful number, since it uses less digits than its factorization.

4871923200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 4871923200 is about 69799.1633187677. The cubic root of 4871923200 is about 1695.2489257719.

The spelling of 4871923200 in words is "four billion, eight hundred seventy-one million, nine hundred twenty-three thousand, two hundred".