4580800 has 84 divisors (see below), whose sum is σ = 12913360. Its totient is φ = 1566720.

The previous prime is 4580791. The next prime is 4580809. The reversal of 4580800 is 80854.

It is an interprime number because it is at equal distance from previous prime (4580791) and next prime (4580809).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4580809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10996 + ... + 11404.

Almost surely, 2^4580800 is an apocalyptic number.

4580800 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 4580800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6456680).

4580800 is an abundant number, since it is smaller than the sum of its proper divisors (8332560).

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

4580800 is a wasteful number, since it uses less digits than its factorization.

4580800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

The square root of 4580800 is about 2140.2803554675. The cubic root of 4580800 is about 166.0786388910.

The spelling of 4580800 in words is "four million, five hundred eighty thousand, eight hundred".