4506800 has 60 divisors (see below), whose sum is σ = 11416680. Its totient is φ = 1704960.

The previous prime is 4506791. The next prime is 4506841. The reversal of 4506800 is 86054.

It is a super-2 number, since 2×4506800² = 40622492480000, which contains 22 as substring.

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, 7304 + ... + 7896.

It is an arithmetic number, because the mean of its divisors is an integer number (190278).

Almost surely, 2^4506800 is an apocalyptic number.

4506800 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 4506800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5708340).

4506800 is an abundant number, since it is smaller than the sum of its proper divisors (6909880).

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

4506800 is a wasteful number, since it uses less digits than its factorization.

4506800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 4506800 is about 2122.9225138945. The cubic root of 4506800 is about 165.1794802413.

The spelling of 4506800 in words is "four million, five hundred six thousand, eight hundred".