4201200 has 120 divisors (see below), whose sum is σ = 14991600. Its totient is φ = 1117440.

The previous prime is 4201199. The next prime is 4201207. The reversal of 4201200 is 21024.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4201207) 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, 10606 + ... + 10994.

It is an arithmetic number, because the mean of its divisors is an integer number (124930).

Almost surely, 2^4201200 is an apocalyptic number.

4201200 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 4201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7495800).

4201200 is an abundant number, since it is smaller than the sum of its proper divisors (10790400).

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

4201200 is a wasteful number, since it uses less digits than its factorization.

4201200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 4201200 is about 2049.6829023046. The cubic root of 4201200 is about 161.3582291264.

Adding to 4201200 its reverse (21024), we get a palindrome (4222224).

The spelling of 4201200 in words is "four million, two hundred one thousand, two hundred".