4875973200 has 300 divisors, whose sum is σ = 20000332000. Its totient is φ = 1114456320.

The previous prime is 4875973189. The next prime is 4875973213. The reversal of 4875973200 is 23795784.

It is a tau number, because it is divible by the number of its divisors (300).

It is a super-2 number, since 2×4875973200² = 47550229294236480000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 216051 + ... + 237549.

Almost surely, 2^4875973200 is an apocalyptic number.

4875973200 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 4875973200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10000166000).

4875973200 is an abundant number, since it is smaller than the sum of its proper divisors (15124358800).

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

4875973200 is a wasteful number, since it uses less digits than its factorization.

4875973200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21536 (or 21516 counting only the distinct ones).

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

The square root of 4875973200 is about 69828.1691010154. The cubic root of 4875973200 is about 1695.7185456912.

The spelling of 4875973200 in words is "four billion, eight hundred seventy-five million, nine hundred seventy-three thousand, two hundred".