4808198400 has 216 divisors, whose sum is σ = 16802612064. Its totient is φ = 1206681600.

The previous prime is 4808198393. The next prime is 4808198401. The reversal of 4808198400 is 48918084.

It is a super-3 number, since 3×4808198400³ (a number of 30 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (4808198401) 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 23 ways as a sum of consecutive naturals, for example, 319035 + ... + 333765.

Almost surely, 2^4808198400 is an apocalyptic number.

4808198400 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 4808198400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8401306032).

4808198400 is an abundant number, since it is smaller than the sum of its proper divisors (11994413664).

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

4808198400 is a wasteful number, since it uses less digits than its factorization.

4808198400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14777 (or 14758 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 42.

The square root of 4808198400 is about 69341.1739156470. The cubic root of 4808198400 is about 1687.8251730020.

The spelling of 4808198400 in words is "four billion, eight hundred eight million, one hundred ninety-eight thousand, four hundred".