4867200 has 216 divisors, whose sum is σ = 18805995. Its totient is φ = 1198080.

The previous prime is 4867171. The next prime is 4867207. The reversal of 4867200 is 27684.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 304704 + 4562496 = 552^2 + 2136^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=1560.

It is a nialpdrome in base 15.

It is a zygodrome in base 8 and base 15.

It is not an unprimeable number, because it can be changed into a prime (4867207) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 374394 + ... + 374406.

Almost surely, 2^4867200 is an apocalyptic number.

4867200 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 4867200

4867200 is an abundant number, since it is smaller than the sum of its proper divisors (13938795).

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

4867200 is a wasteful number, since it uses less digits than its factorization.

4867200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 4867200 is about 2206.1731573020. The cubic root of 4867200 is about 169.4700915721.

The spelling of 4867200 in words is "four million, eight hundred sixty-seven thousand, two hundred".