4794292800 has 1008 divisors, whose sum is σ = 20636179200. Its totient is φ = 1082419200.

The previous prime is 4794292793. The next prime is 4794292801. The reversal of 4794292800 is 82924974.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4794292801) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 81259171 + ... + 81259229.

It is an arithmetic number, because the mean of its divisors is an integer number (20472400).

Almost surely, 2^4794292800 is an apocalyptic number.

4794292800 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 4794292800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10318089600).

4794292800 is an abundant number, since it is smaller than the sum of its proper divisors (15841886400).

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

4794292800 is a wasteful number, since it uses less digits than its factorization.

4794292800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 4794292800 is about 69240.8318840841. The cubic root of 4794292800 is about 1686.1965044960.

The spelling of 4794292800 in words is "four billion, seven hundred ninety-four million, two hundred ninety-two thousand, eight hundred".