4229200 has 60 divisors (see below), whose sum is σ = 10359580. Its totient is φ = 1658880.

The previous prime is 4229167. The next prime is 4229207. The reversal of 4229200 is 29224.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 18496 + 4210704 = 136^2 + 2052^2 .

It is a super-2 number, since 2×4229200² = 35772265280000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4229207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38746 + ... + 38854.

Almost surely, 2^4229200 is an apocalyptic number.

4229200 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 4229200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5179790).

4229200 is an abundant number, since it is smaller than the sum of its proper divisors (6130380).

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

4229200 is a wasteful number, since it uses less digits than its factorization.

4229200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 4229200 is about 2056.5018842685. The cubic root of 4229200 is about 161.7159071085.

The spelling of 4229200 in words is "four million, two hundred twenty-nine thousand, two hundred".