4876200 has 240 divisors, whose sum is σ = 19805280. Its totient is φ = 1088640.

The previous prime is 4876189. The next prime is 4876211. The reversal of 4876200 is 26784.

4876200 = T₃₈₉ + T₃₉₀ + ... + T₄₄₄.

It is an interprime number because it is at equal distance from previous prime (4876189) and next prime (4876211).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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, 113379 + ... + 113421.

It is an arithmetic number, because the mean of its divisors is an integer number (82522).

Almost surely, 2^4876200 is an apocalyptic number.

4876200 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 4876200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9902640).

4876200 is an abundant number, since it is smaller than the sum of its proper divisors (14929080).

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

4876200 is a wasteful number, since it uses less digits than its factorization.

4876200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 4876200 is about 2208.2119463494. The cubic root of 4876200 is about 169.5744836716.

The spelling of 4876200 in words is "four million, eight hundred seventy-six thousand, two hundred".