4813259360 has 384 divisors, whose sum is σ = 14956462080. Its totient is φ = 1421328384.

The previous prime is 4813259357. The next prime is 4813259383. The reversal of 4813259360 is 639523184.

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 63 ways as a sum of consecutive naturals, for example, 35133212 + ... + 35133348.

It is an arithmetic number, because the mean of its divisors is an integer number (38949120).

Almost surely, 2^4813259360 is an apocalyptic number.

4813259360 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 4813259360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7478231040).

4813259360 is an abundant number, since it is smaller than the sum of its proper divisors (10143202720).

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

4813259360 is a wasteful number, since it uses less digits than its factorization.

4813259360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 41.

The square root of 4813259360 is about 69377.6574986501. The cubic root of 4813259360 is about 1688.4171494354.

The spelling of 4813259360 in words is "four billion, eight hundred thirteen million, two hundred fifty-nine thousand, three hundred sixty".