4233200 has 60 divisors (see below), whose sum is σ = 10724760. Its totient is φ = 1601280.

The previous prime is 4233199. The next prime is 4233247. The reversal of 4233200 is 23324.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7322 + ... + 7878.

It is an arithmetic number, because the mean of its divisors is an integer number (178746).

Almost surely, 2^4233200 is an apocalyptic number.

4233200 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 4233200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5362380).

4233200 is an abundant number, since it is smaller than the sum of its proper divisors (6491560).

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

4233200 is a wasteful number, since it uses less digits than its factorization.

4233200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 4233200 is about 2057.4741796679. The cubic root of 4233200 is about 161.7668749669.

Adding to 4233200 its reverse (23324), we get a palindrome (4256524).

The spelling of 4233200 in words is "four million, two hundred thirty-three thousand, two hundred".