4580845600 has 144 divisors (see below), whose sum is σ = 11919737088. Its totient is φ = 1715056640.

The previous prime is 4580845583. The next prime is 4580845627. The reversal of 4580845600 is 65480854.

It is a super-2 number, since 2×4580845600² = 41968292822078720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 862152 + ... + 867448.

It is an arithmetic number, because the mean of its divisors is an integer number (82775952).

Almost surely, 2^4580845600 is an apocalyptic number.

4580845600 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 4580845600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5959868544).

4580845600 is an abundant number, since it is smaller than the sum of its proper divisors (7338891488).

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

4580845600 is a wasteful number, since it uses less digits than its factorization.

4580845600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5387 (or 5374 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 40.

The square root of 4580845600 is about 67681.9444165133. The cubic root of 4580845600 is about 1660.7918997097.

The spelling of 4580845600 in words is "four billion, five hundred eighty million, eight hundred forty-five thousand, six hundred".