4204200 has 288 divisors, whose sum is σ = 17811360. Its totient is φ = 806400.

The previous prime is 4204169. The next prime is 4204223. The reversal of 4204200 is 24024.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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 71 ways as a sum of consecutive naturals, for example, 323394 + ... + 323406.

It is an arithmetic number, because the mean of its divisors is an integer number (61845).

Almost surely, 2^4204200 is an apocalyptic number.

4204200 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 4204200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8905680).

4204200 is an abundant number, since it is smaller than the sum of its proper divisors (13607160).

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

4204200 is a wasteful number, since it uses less digits than its factorization.

4204200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 4204200 is about 2050.4145922228. The cubic root of 4204200 is about 161.3966276403.

Adding to 4204200 its reverse (24024), we get a palindrome (4228224).

The spelling of 4204200 in words is "four million, two hundred four thousand, two hundred".