4809888000 has 576 divisors, whose sum is σ = 18749203200. Its totient is φ = 1210982400.

The previous prime is 4809887989. The next prime is 4809888007. The reversal of 4809888000 is 8889084.

4809888000 is a `hidden beast` number, since 480 + 98 + 8 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-3 number, since 3×4809888000³ (a number of 30 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4809888007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16415854 + ... + 16416146.

It is an arithmetic number, because the mean of its divisors is an integer number (32550700).

Almost surely, 2^4809888000 is an apocalyptic number.

4809888000 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 4809888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9374601600).

4809888000 is an abundant number, since it is smaller than the sum of its proper divisors (13939315200).

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

4809888000 is a wasteful number, since it uses less digits than its factorization.

4809888000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The square root of 4809888000 is about 69353.3560831774. The cubic root of 4809888000 is about 1688.0228503304.

The spelling of 4809888000 in words is "four billion, eight hundred nine million, eight hundred eighty-eight thousand".