4584988800 has 1080 divisors, whose sum is σ = 20772419085. Its totient is φ = 992839680.

The previous prime is 4584988763. The next prime is 4584988853. The reversal of 4584988800 is 88894854.

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 4493289024 + 91699776 = 67032^2 + 9576^2 .

It is a tau number, because it is divible by the number of its divisors (1080).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=47880.

It is a super-2 number, since 2×4584988800² = 42044244592250880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 241315191 + ... + 241315209.

Almost surely, 2^4584988800 is an apocalyptic number.

4584988800 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 4584988800

4584988800 is an abundant number, since it is smaller than the sum of its proper divisors (16187430285).

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

4584988800 is a wasteful number, since it uses less digits than its factorization.

4584988800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 54.

The square root of 4584988800 is about 67712.5453664238. The cubic root of 4584988800 is about 1661.2924564561.

The spelling of 4584988800 in words is "four billion, five hundred eighty-four million, nine hundred eighty-eight thousand, eight hundred".