4213200 has 60 divisors (see below), whose sum is σ = 13500128. Its totient is φ = 1123200.

The previous prime is 4213199. The next prime is 4213217. The reversal of 4213200 is 23124.

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 556 + ... + 2955.

Almost surely, 2^4213200 is an apocalyptic number.

4213200 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 4213200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6750064).

4213200 is an abundant number, since it is smaller than the sum of its proper divisors (9286928).

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

4213200 is a wasteful number, since it uses less digits than its factorization.

4213200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3532 (or 3521 counting only the distinct ones).

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

The square root of 4213200 is about 2052.6080970317. The cubic root of 4213200 is about 161.5117136944.

Adding to 4213200 its reverse (23124), we get a palindrome (4236324).

The spelling of 4213200 in words is "four million, two hundred thirteen thousand, two hundred".