4500800 has 84 divisors (see below), whose sum is σ = 11574780. Its totient is φ = 1720320.

The previous prime is 4500799. The next prime is 4500851. The reversal of 4500800 is 80054.

4500800 = T₁₁₁ + T₁₁₂ + ... + T₃₀₄.

It can be written as a sum of positive squares in 6 ways, for example, as 107584 + 4393216 = 328^2 + 2096^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46352 + ... + 46448.

It is an arithmetic number, because the mean of its divisors is an integer number (137795).

Almost surely, 2^4500800 is an apocalyptic number.

4500800 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 4500800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5787390).

4500800 is an abundant number, since it is smaller than the sum of its proper divisors (7073980).

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

4500800 is a wasteful number, since it uses less digits than its factorization.

4500800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 4500800 is about 2121.5088969882. The cubic root of 4500800 is about 165.1061453532.

Adding to 4500800 its reverse (80054), we get a palindrome (4580854).

The spelling of 4500800 in words is "four million, five hundred thousand, eight hundred".