4809829248 has 192 divisors, whose sum is σ = 16404635520. Its totient is φ = 1374174720.

The previous prime is 4809829181. The next prime is 4809829259. The reversal of 4809829248 is 8429289084.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×4809829248³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 4809829194 and 4809829203.

It is a congruent number.

It is an unprimeable number.

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, 206683 + ... + 228773.

It is an arithmetic number, because the mean of its divisors is an integer number (85440810).

Almost surely, 2^4809829248 is an apocalyptic number.

4809829248 is a gapful number since it is divisible by the number (48) 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 4809829248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8202317760).

4809829248 is an abundant number, since it is smaller than the sum of its proper divisors (11594806272).

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

4809829248 is an equidigital number, since it uses as much as digits as its factorization.

4809829248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22127 (or 22103 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The square root of 4809829248 is about 69352.9325118989. The cubic root of 4809829248 is about 1688.0159773276.

The spelling of 4809829248 in words is "four billion, eight hundred nine million, eight hundred twenty-nine thousand, two hundred forty-eight".