4808304864 has 288 divisors, whose sum is σ = 15567552000. Its totient is φ = 1394426880.

The previous prime is 4808304857. The next prime is 4808304869. The reversal of 4808304864 is 4684038084.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×4808304864³ (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4808304869) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18282397 + ... + 18282659.

It is an arithmetic number, because the mean of its divisors is an integer number (54054000).

Almost surely, 2^4808304864 is an apocalyptic number.

4808304864 is a gapful number since it is divisible by the number (44) 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 4808304864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7783776000).

4808304864 is an abundant number, since it is smaller than the sum of its proper divisors (10759247136).

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

4808304864 is a wasteful number, since it uses less digits than its factorization.

4808304864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The square root of 4808304864 is about 69341.9415938146. The cubic root of 4808304864 is about 1687.8376302870.

The spelling of 4808304864 in words is "four billion, eight hundred eight million, three hundred four thousand, eight hundred sixty-four".