4804045200 has 300 divisors, whose sum is σ = 17801225728. Its totient is φ = 1239494400.

The previous prime is 4804045193. The next prime is 4804045201. The reversal of 4804045200 is 25404084.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (4804045201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1002009 + ... + 1006791.

Almost surely, 2^4804045200 is an apocalyptic number.

4804045200 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 4804045200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8900612864).

4804045200 is an abundant number, since it is smaller than the sum of its proper divisors (12997180528).

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

4804045200 is a wasteful number, since it uses less digits than its factorization.

4804045200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4844 (or 4824 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 4804045200 is about 69311.2198709560. The cubic root of 4804045200 is about 1687.3390661340.

Adding to 4804045200 its reverse (25404084), we get a palindrome (4829449284).

The spelling of 4804045200 in words is "four billion, eight hundred four million, forty-five thousand, two hundred".