4784924200 has 96 divisors (see below), whose sum is σ = 12760522560. Its totient is φ = 1634572800.

The previous prime is 4784924171. The next prime is 4784924231. The reversal of 4784924200 is 24294874.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 387319 + ... + 399481.

It is an arithmetic number, because the mean of its divisors is an integer number (132922110).

Almost surely, 2^4784924200 is an apocalyptic number.

4784924200 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 4784924200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6380261280).

4784924200 is an abundant number, since it is smaller than the sum of its proper divisors (7975598360).

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

4784924200 is a wasteful number, since it uses less digits than its factorization.

4784924200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12467 (or 12458 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 40.

The square root of 4784924200 is about 69173.1465237776. The cubic root of 4784924200 is about 1685.0974476012.

The spelling of 4784924200 in words is "four billion, seven hundred eighty-four million, nine hundred twenty-four thousand, two hundred".