4195200 has 192 divisors, whose sum is σ = 15177600. Its totient is φ = 1013760.

The previous prime is 4195189. The next prime is 4195201. The reversal of 4195200 is 25914.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4195201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 182389 + ... + 182411.

It is an arithmetic number, because the mean of its divisors is an integer number (79050).

Almost surely, 2^4195200 is an apocalyptic number.

4195200 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 4195200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7588800).

4195200 is an abundant number, since it is smaller than the sum of its proper divisors (10982400).

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

4195200 is a wasteful number, since it uses less digits than its factorization.

4195200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 4195200 is about 2048.2187383187. The cubic root of 4195200 is about 161.2813772243.

The spelling of 4195200 in words is "four million, one hundred ninety-five thousand, two hundred".