4755200 has 54 divisors (see below), whose sum is σ = 11785704. Its totient is φ = 1899520.

The previous prime is 4755197. The next prime is 4755209. The reversal of 4755200 is 25574.

It is a super-2 number, since 2×4755200² = 45223854080000, which contains 22 as substring.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4755209) 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 5 ways as a sum of consecutive naturals, for example, 6029 + ... + 6771.

Almost surely, 2^4755200 is an apocalyptic number.

4755200 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 4755200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5892852).

4755200 is an abundant number, since it is smaller than the sum of its proper divisors (7030504).

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

4755200 is an equidigital number, since it uses as much as digits as its factorization.

4755200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 23.

The square root of 4755200 is about 2180.6421072702. The cubic root of 4755200 is about 168.1600892750.

The spelling of 4755200 in words is "four million, seven hundred fifty-five thousand, two hundred".