4505600 has 90 divisors (see below), whose sum is σ = 12189324. Its totient is φ = 1638400.

The previous prime is 4505597. The next prime is 4505617. The reversal of 4505600 is 65054.

4505600 is nontrivially palindromic in base 15.

4505600 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 409595 + ... + 409605.

Almost surely, 2^4505600 is an apocalyptic number.

4505600 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 4505600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6094662).

4505600 is an abundant number, since it is smaller than the sum of its proper divisors (7683724).

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

4505600 is an equidigital number, since it uses as much as digits as its factorization.

4505600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 4505600 is about 2122.6398658275. The cubic root of 4505600 is about 165.1648184730.

The spelling of 4505600 in words is "four million, five hundred five thousand, six hundred".