4580848800 has 216 divisors, whose sum is σ = 17621997120. Its totient is φ = 1110489600.

The previous prime is 4580848673. The next prime is 4580848801. The reversal of 4580848800 is 88480854.

It is a happy number.

It is a super-2 number, since 2×4580848800² = 41968351456922880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4580848801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 50281 + ... + 108119.

It is an arithmetic number, because the mean of its divisors is an integer number (81583320).

Almost surely, 2^4580848800 is an apocalyptic number.

4580848800 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 4580848800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8810998560).

4580848800 is an abundant number, since it is smaller than the sum of its proper divisors (13041148320).

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

4580848800 is a wasteful number, since it uses less digits than its factorization.

4580848800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57876 (or 57860 counting only the distinct ones).

The product of its (nonzero) digits is 327680, while the sum is 45.

The square root of 4580848800 is about 67681.9680564920. The cubic root of 4580848800 is about 1660.7922864310.

The spelling of 4580848800 in words is "four billion, five hundred eighty million, eight hundred forty-eight thousand, eight hundred".