4001200 has 60 divisors (see below), whose sum is σ = 10993840. Its totient is φ = 1370880.

The previous prime is 4001197. The next prime is 4001213. The reversal of 4001200 is 21004.

4001200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is an Ulam number.

4001200 is a modest number, since divided by 1200 gives 400 as remainder.

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, 2086 + ... + 3514.

Almost surely, 2^4001200 is an apocalyptic number.

4001200 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 4001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5496920).

4001200 is an abundant number, since it is smaller than the sum of its proper divisors (6992640).

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

4001200 is a wasteful number, since it uses less digits than its factorization.

4001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1454 (or 1443 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

The square root of 4001200 is about 2000.2999775034. The cubic root of 4001200 is about 158.7559776202.

Adding to 4001200 its reverse (21004), we get a palindrome (4022204).

It can be divided in two parts, 400 and 1200, that added together give a square (1600 = 40²).

The spelling of 4001200 in words is "four million, one thousand, two hundred".