4580284800 has 768 divisors, whose sum is σ = 19123776000. Its totient is φ = 957358080.

The previous prime is 4580284781. The next prime is 4580284801. The reversal of 4580284800 is 84820854.

It is a super-2 number, since 2×4580284800² = 41958017698222080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4580284801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42806347 + ... + 42806453.

It is an arithmetic number, because the mean of its divisors is an integer number (24900750).

Almost surely, 2^4580284800 is an apocalyptic number.

4580284800 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 4580284800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9561888000).

4580284800 is an abundant number, since it is smaller than the sum of its proper divisors (14543491200).

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

4580284800 is a wasteful number, since it uses less digits than its factorization.

4580284800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 39.

The square root of 4580284800 is about 67677.8013827281. The cubic root of 4580284800 is about 1660.7241240056.

The spelling of 4580284800 in words is "four billion, five hundred eighty million, two hundred eighty-four thousand, eight hundred".