4879200 has 144 divisors (see below), whose sum is σ = 16873920. Its totient is φ = 1221120.

The previous prime is 4879177. The next prime is 4879201. The reversal of 4879200 is 29784.

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 not an unprimeable number, because it can be changed into a prime (4879201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45547 + ... + 45653.

It is an arithmetic number, because the mean of its divisors is an integer number (117180).

Almost surely, 2^4879200 is an apocalyptic number.

4879200 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 4879200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8436960).

4879200 is an abundant number, since it is smaller than the sum of its proper divisors (11994720).

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

4879200 is a wasteful number, since it uses less digits than its factorization.

4879200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 4879200 is about 2208.8911245238. The cubic root of 4879200 is about 169.6092524915.

The spelling of 4879200 in words is "four million, eight hundred seventy-nine thousand, two hundred".