4003200 has 144 divisors (see below), whose sum is σ = 14387100. Its totient is φ = 1059840.

The previous prime is 4003187. The next prime is 4003201. The reversal of 4003200 is 23004.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×4003200² = 32051220480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4003201) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 28731 + ... + 28869.

Almost surely, 2^4003200 is an apocalyptic number.

4003200 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 4003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7193550).

4003200 is an abundant number, since it is smaller than the sum of its proper divisors (10383900).

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

4003200 is a wasteful number, since it uses less digits than its factorization.

4003200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 4003200 is about 2000.7998400640. The cubic root of 4003200 is about 158.7824246084.

Adding to 4003200 its reverse (23004), we get a palindrome (4026204).

It can be divided in two parts, 400 and 3200, that added together give a square (3600 = 60²).

The spelling of 4003200 in words is "four million, three thousand, two hundred".