4555200 has 168 divisors, whose sum is σ = 16314928. Its totient is φ = 1105920.

The previous prime is 4555183. The next prime is 4555207. The reversal of 4555200 is 25554.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4555207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62364 + ... + 62436.

Almost surely, 2^4555200 is an apocalyptic number.

4555200 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 4555200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8157464).

4555200 is an abundant number, since it is smaller than the sum of its proper divisors (11759728).

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

4555200 is a wasteful number, since it uses less digits than its factorization.

4555200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 21.

The square root of 4555200 is about 2134.2914515127. The cubic root of 4555200 is about 165.7686815367.

The spelling of 4555200 in words is "four million, five hundred fifty-five thousand, two hundred".