4832908416 has 448 divisors, whose sum is σ = 16945872000. Its totient is φ = 1371686400.

The previous prime is 4832908321. The next prime is 4832908429. The reversal of 4832908416 is 6148092384.

It is a happy number.

4832908416 is a `hidden beast` number, since 483 + 2 + 90 + 84 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 32005941 + ... + 32006091.

Almost surely, 2^4832908416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4832908416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8472936000).

4832908416 is an abundant number, since it is smaller than the sum of its proper divisors (12112963584).

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

4832908416 is an frugal number, since it uses more digits than its factorization.

4832908416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 4832908416 is about 69519.1226641994. The cubic root of 4832908416 is about 1690.7115587244.

The spelling of 4832908416 in words is "four billion, eight hundred thirty-two million, nine hundred eight thousand, four hundred sixteen".