4973875200 has 624 divisors, whose sum is σ = 20963717760. Its totient is φ = 1132462080.

The previous prime is 4973875163. The next prime is 4973875201. The reversal of 4973875200 is 25783794.

4973875200 is a `hidden beast` number, since 4 + 97 + 38 + 7 + 520 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4973875201) 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 47 ways as a sum of consecutive naturals, for example, 19353472 + ... + 19353728.

Almost surely, 2^4973875200 is an apocalyptic number.

4973875200 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 4973875200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10481858880).

4973875200 is an abundant number, since it is smaller than the sum of its proper divisors (15989842560).

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

4973875200 is a wasteful number, since it uses less digits than its factorization.

4973875200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 4973875200 is about 70525.7059518017. The cubic root of 4973875200 is about 1706.9925592937.

The spelling of 4973875200 in words is "four billion, nine hundred seventy-three million, eight hundred seventy-five thousand, two hundred".