4794883200 has 288 divisors, whose sum is σ = 17702298900. Its totient is φ = 1234329600.

The previous prime is 4794883183. The next prime is 4794883217. The reversal of 4794883200 is 23884974.

It is an interprime number because it is at equal distance from previous prime (4794883183) and next prime (4794883217).

It can be written as a sum of positive squares in 6 ways, for example, as 1782190656 + 3012692544 = 42216^2 + 54888^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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

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 35 ways as a sum of consecutive naturals, for example, 832330 + ... + 838070.

Almost surely, 2^4794883200 is an apocalyptic number.

4794883200 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 4794883200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8851149450).

4794883200 is an abundant number, since it is smaller than the sum of its proper divisors (12907415700).

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

4794883200 is a wasteful number, since it uses less digits than its factorization.

4794883200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5800 (or 5780 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 4794883200 is about 69245.0951331573. The cubic root of 4794883200 is about 1686.2657180099.

The spelling of 4794883200 in words is "four billion, seven hundred ninety-four million, eight hundred eighty-three thousand, two hundred".