4023200 has 72 divisors (see below), whose sum is σ = 10124352. Its totient is φ = 1560320.

The previous prime is 4023191. The next prime is 4023221. The reversal of 4023200 is 23204.

4023200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4023200² = 32372276480000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37547 + ... + 37653.

It is an arithmetic number, because the mean of its divisors is an integer number (140616).

Almost surely, 2^4023200 is an apocalyptic number.

4023200 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 4023200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5062176).

4023200 is an abundant number, since it is smaller than the sum of its proper divisors (6101152).

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

4023200 is a wasteful number, since it uses less digits than its factorization.

4023200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 11.

The square root of 4023200 is about 2005.7916143009. The cubic root of 4023200 is about 159.0464113028.

Adding to 4023200 its reverse (23204), we get a palindrome (4046404).

The spelling of 4023200 in words is "four million, twenty-three thousand, two hundred".