4648282320 has 320 divisors, whose sum is σ = 16198963200. Its totient is φ = 1093048320.

The previous prime is 4648282291. The next prime is 4648282333. The reversal of 4648282320 is 232828464.

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, 19448761 + ... + 19448999.

It is an arithmetic number, because the mean of its divisors is an integer number (50621760).

Almost surely, 2^4648282320 is an apocalyptic number.

4648282320 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 4648282320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8099481600).

4648282320 is an abundant number, since it is smaller than the sum of its proper divisors (11550680880).

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

4648282320 is a wasteful number, since it uses less digits than its factorization.

4648282320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 39.

The square root of 4648282320 is about 68178.3126807931. The cubic root of 4648282320 is about 1668.9019901681.

The spelling of 4648282320 in words is "four billion, six hundred forty-eight million, two hundred eighty-two thousand, three hundred twenty".