4875600 has 120 divisors (see below), whose sum is σ = 16606080. Its totient is φ = 1218560.

The previous prime is 4875581. The next prime is 4875613. The reversal of 4875600 is 65784.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a zygodrome in base 5.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20281 + ... + 20519.

It is an arithmetic number, because the mean of its divisors is an integer number (138384).

Almost surely, 2^4875600 is an apocalyptic number.

4875600 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 4875600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8303040).

4875600 is an abundant number, since it is smaller than the sum of its proper divisors (11730480).

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

4875600 is a wasteful number, since it uses less digits than its factorization.

4875600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 4875600 is about 2208.0760856456. The cubic root of 4875600 is about 169.5675281965.

The spelling of 4875600 in words is "four million, eight hundred seventy-five thousand, six hundred".