4809340800 has 1152 divisors, whose sum is σ = 21309350400. Its totient is φ = 1017446400.

The previous prime is 4809340777. The next prime is 4809340807. The reversal of 4809340800 is 80439084.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-3 number, since 3×4809340800³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4809340807) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 102326377 + ... + 102326423.

It is an arithmetic number, because the mean of its divisors is an integer number (18497700).

Almost surely, 2^4809340800 is an apocalyptic number.

4809340800 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 4809340800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10654675200).

4809340800 is an abundant number, since it is smaller than the sum of its proper divisors (16500009600).

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

4809340800 is a wasteful number, since it uses less digits than its factorization.

4809340800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 4809340800 is about 69349.4109564025. The cubic root of 4809340800 is about 1687.9588349013.

Adding to 4809340800 its reverse (80439084), we get a palindrome (4889779884).

The spelling of 4809340800 in words is "four billion, eight hundred nine million, three hundred forty thousand, eight hundred".