4259848320 has 1152 divisors, whose sum is σ = 19554575040. Its totient is φ = 877879296.

The previous prime is 4259848303. The next prime is 4259848387. The reversal of 4259848320 is 238489524.

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

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

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 143 ways as a sum of consecutive naturals, for example, 99066219 + ... + 99066261.

Almost surely, 2^4259848320 is an apocalyptic number.

4259848320 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 4259848320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9777287520).

4259848320 is an abundant number, since it is smaller than the sum of its proper divisors (15294726720).

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

4259848320 is a wasteful number, since it uses less digits than its factorization.

4259848320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 4259848320 is about 65267.5135117004. The cubic root of 4259848320 is about 1621.0561014860.

The spelling of 4259848320 in words is "four billion, two hundred fifty-nine million, eight hundred forty-eight thousand, three hundred twenty".