4013200 has 60 divisors (see below), whose sum is σ = 9840640. Its totient is φ = 1572480.

The previous prime is 4013197. The next prime is 4013209. The reversal of 4013200 is 23104.

4013200 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 2×4013200² = 32211548480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4013209) by changing a digit.

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, 31537 + ... + 31663.

Almost surely, 2^4013200 is an apocalyptic number.

4013200 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 4013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4920320).

4013200 is an abundant number, since it is smaller than the sum of its proper divisors (5827440).

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

4013200 is a wasteful number, since it uses less digits than its factorization.

4013200 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 24, while the sum is 10.

The square root of 4013200 is about 2003.2972819829. The cubic root of 4013200 is about 158.9145275884.

Adding to 4013200 its reverse (23104), we get a palindrome (4036304).

The spelling of 4013200 in words is "four million, thirteen thousand, two hundred".