4879600 has 60 divisors (see below), whose sum is σ = 12800520. Its totient is φ = 1772800.

The previous prime is 4879591. The next prime is 4879607. The reversal of 4879600 is 69784.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4879607) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 3846 + ... + 4954.

It is an arithmetic number, because the mean of its divisors is an integer number (213342).

Almost surely, 2^4879600 is an apocalyptic number.

4879600 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 4879600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6400260).

4879600 is an abundant number, since it is smaller than the sum of its proper divisors (7920920).

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

4879600 is a wasteful number, since it uses less digits than its factorization.

4879600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 4879600 is about 2208.9816658361. The cubic root of 4879600 is about 169.6138872573.

The spelling of 4879600 in words is "four million, eight hundred seventy-nine thousand, six hundred".