4804838400 has 132 divisors (see below), whose sum is σ = 15880494992. Its totient is φ = 1281269760.

The previous prime is 4804838359. The next prime is 4804838417. The reversal of 4804838400 is 48384084.

It is a super-2 number, since 2×4804838400² = 46172944100229120000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45519 + ... + 108081.

Almost surely, 2^4804838400 is an apocalyptic number.

4804838400 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 4804838400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7940247496).

4804838400 is an abundant number, since it is smaller than the sum of its proper divisors (11075656592).

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

4804838400 is a wasteful number, since it uses less digits than its factorization.

4804838400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62596 (or 62573 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 39.

The square root of 4804838400 is about 69316.9416520954. The cubic root of 4804838400 is about 1687.4319270208.

The spelling of 4804838400 in words is "four billion, eight hundred four million, eight hundred thirty-eight thousand, four hundred".