4875200 has 84 divisors (see below), whose sum is σ = 13133832. Its totient is φ = 1766400.

The previous prime is 4875197. The next prime is 4875203. The reversal of 4875200 is 25784.

It is an interprime number because it is at equal distance from previous prime (4875197) and next prime (4875203).

It is a self number, because there is not a number n which added to its sum of digits gives 4875200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4875203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17462 + ... + 17738.

Almost surely, 2^4875200 is an apocalyptic number.

4875200 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 4875200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6566916).

4875200 is an abundant number, since it is smaller than the sum of its proper divisors (8258632).

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

4875200 is a wasteful number, since it uses less digits than its factorization.

4875200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 26.

The square root of 4875200 is about 2207.9855071988. The cubic root of 4875200 is about 169.5628908961.

The spelling of 4875200 in words is "four million, eight hundred seventy-five thousand, two hundred".