4602112800 has 144 divisors (see below), whose sum is σ = 15120719712. Its totient is φ = 1215692800.

The previous prime is 4602112783. The next prime is 4602112819. The reversal of 4602112800 is 82112064.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 23 ways as a sum of consecutive naturals, for example, 247840 + ... + 265760.

It is an arithmetic number, because the mean of its divisors is an integer number (105004998).

Almost surely, 2^4602112800 is an apocalyptic number.

4602112800 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 4602112800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7560359856).

4602112800 is an abundant number, since it is smaller than the sum of its proper divisors (10518606912).

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

4602112800 is a wasteful number, since it uses less digits than its factorization.

4602112800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18051 (or 18038 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 4602112800 is about 67838.8738114070. The cubic root of 4602112800 is about 1663.3580834234.

Adding to 4602112800 its reverse (82112064), we get a palindrome (4684224864).

The spelling of 4602112800 in words is "four billion, six hundred two million, one hundred twelve thousand, eight hundred".