4197200 has 60 divisors (see below), whose sum is σ = 11532000. Its totient is φ = 1438080.

The previous prime is 4197197. The next prime is 4197203. The reversal of 4197200 is 27914.

It is an interprime number because it is at equal distance from previous prime (4197197) and next prime (4197203).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4197203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2051 + ... + 3549.

It is an arithmetic number, because the mean of its divisors is an integer number (192200).

Almost surely, 2^4197200 is an apocalyptic number.

4197200 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 4197200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5766000).

4197200 is an abundant number, since it is smaller than the sum of its proper divisors (7334800).

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

4197200 is a wasteful number, since it uses less digits than its factorization.

4197200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1524 (or 1513 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 23.

The square root of 4197200 is about 2048.7069092479. The cubic root of 4197200 is about 161.3070026620.

The spelling of 4197200 in words is "four million, one hundred ninety-seven thousand, two hundred".