4231200 has 144 divisors (see below), whose sum is σ = 14436576. Its totient is φ = 1075200.

The previous prime is 4231189. The next prime is 4231207. The reversal of 4231200 is 21324.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (4231207) 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, 98379 + ... + 98421.

It is an arithmetic number, because the mean of its divisors is an integer number (100254).

Almost surely, 2^4231200 is an apocalyptic number.

4231200 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 4231200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7218288).

4231200 is an abundant number, since it is smaller than the sum of its proper divisors (10205376).

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

4231200 is a wasteful number, since it uses less digits than its factorization.

4231200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 4231200 is about 2056.9880894162. The cubic root of 4231200 is about 161.7413950529.

Adding to 4231200 its reverse (21324), we get a palindrome (4252524).

The spelling of 4231200 in words is "four million, two hundred thirty-one thousand, two hundred".