4608424800 has 576 divisors, whose sum is σ = 19723737600. Its totient is φ = 1016064000.

The previous prime is 4608424781. The next prime is 4608424813. The reversal of 4608424800 is 84248064.

4608424800 is a `hidden beast` number, since 4 + 608 + 4 + 2 + 48 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4384275 + ... + 4385325.

It is an arithmetic number, because the mean of its divisors is an integer number (34242600).

Almost surely, 2^4608424800 is an apocalyptic number.

4608424800 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 4608424800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9861868800).

4608424800 is an abundant number, since it is smaller than the sum of its proper divisors (15115312800).

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

4608424800 is a wasteful number, since it uses less digits than its factorization.

4608424800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1116 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 4608424800 is about 67885.3798693062. The cubic root of 4608424800 is about 1664.1181922642.

The spelling of 4608424800 in words is "four billion, six hundred eight million, four hundred twenty-four thousand, eight hundred".