4604160800 has 54 divisors (see below), whose sum is σ = 11244594753. Its totient is φ = 1840896640.

The previous prime is 4604160797. The next prime is 4604160817. The reversal of 4604160800 is 80614064.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 4512077584 + 92083216 = 67172^2 + 9596^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=47980.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1918001 + ... + 1920399.

Almost surely, 2^4604160800 is an apocalyptic number.

4604160800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4604160800 is an abundant number, since it is smaller than the sum of its proper divisors (6640433953).

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

4604160800 is an frugal number, since it uses more digits than its factorization.

4604160800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4818 (or 2406 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 4604160800 is about 67853.9667226611. The cubic root of 4604160800 is about 1663.6047854860.

Multiplying 4604160800 by its product of nonzero digits (4608), we get a square (21215972966400 = 4606080²).

Adding to 4604160800 its reverse (80614064), we get a palindrome (4684774864).

The spelling of 4604160800 in words is "four billion, six hundred four million, one hundred sixty thousand, eight hundred".