4285200 has 60 divisors (see below), whose sum is σ = 13730768. Its totient is φ = 1142400.

The previous prime is 4285187. The next prime is 4285201. The reversal of 4285200 is 25824.

It is a tau number, because it is divible by the number of its divisors (60).

It is not an unprimeable number, because it can be changed into a prime (4285201) 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 11 ways as a sum of consecutive naturals, for example, 586 + ... + 2985.

Almost surely, 2^4285200 is an apocalyptic number.

4285200 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 4285200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6865384).

4285200 is an abundant number, since it is smaller than the sum of its proper divisors (9445568).

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

4285200 is a wasteful number, since it uses less digits than its factorization.

4285200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3592 (or 3581 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 4285200 is about 2070.0724624998. The cubic root of 4285200 is about 162.4265545809.

The spelling of 4285200 in words is "four million, two hundred eighty-five thousand, two hundred".