4832488320 has 512 divisors, whose sum is σ = 17776005120. Its totient is φ = 1115136000.

The previous prime is 4832488313. The next prime is 4832488327. The reversal of 4832488320 is 238842384.

It is an interprime number because it is at equal distance from previous prime (4832488313) and next prime (4832488327).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4832488327) 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, 79221090 + ... + 79221150.

It is an arithmetic number, because the mean of its divisors is an integer number (34718760).

Almost surely, 2^4832488320 is an apocalyptic number.

4832488320 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 4832488320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8888002560).

4832488320 is an abundant number, since it is smaller than the sum of its proper divisors (12943516800).

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

4832488320 is a wasteful number, since it uses less digits than its factorization.

4832488320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 42.

The square root of 4832488320 is about 69516.1011564947. The cubic root of 4832488320 is about 1690.6625694698.

The spelling of 4832488320 in words is "four billion, eight hundred thirty-two million, four hundred eighty-eight thousand, three hundred twenty".