4984800 has 144 divisors (see below), whose sum is σ = 16998912. Its totient is φ = 1267200.

The previous prime is 4984799. The next prime is 4984817. The reversal of 4984800 is 84894.

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, 74367 + ... + 74433.

It is an arithmetic number, because the mean of its divisors is an integer number (118048).

Almost surely, 2^4984800 is an apocalyptic number.

4984800 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 4984800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8499456).

4984800 is an abundant number, since it is smaller than the sum of its proper divisors (12014112).

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

4984800 is a wasteful number, since it uses less digits than its factorization.

4984800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 4984800 is about 2232.6665671345. Note that the first 3 decimals coincide. The cubic root of 4984800 is about 170.8241412200.

The spelling of 4984800 in words is "four million, nine hundred eighty-four thousand, eight hundred".