4144200 has 48 divisors (see below), whose sum is σ = 12848880. Its totient is φ = 1104960.

The previous prime is 4144181. The next prime is 4144201. The reversal of 4144200 is 24414.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 4144200.

It is not an unprimeable number, because it can be changed into a prime (4144201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2854 + ... + 4053.

It is an arithmetic number, because the mean of its divisors is an integer number (267685).

Almost surely, 2^4144200 is an apocalyptic number.

4144200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4144200 is an abundant number, since it is smaller than the sum of its proper divisors (8704680).

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

4144200 is a wasteful number, since it uses less digits than its factorization.

4144200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6926 (or 6917 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 4144200 is about 2035.7308270005. The cubic root of 4144200 is about 160.6251583419.

Adding to 4144200 its reverse (24414), we get a palindrome (4168614).

The spelling of 4144200 in words is "four million, one hundred forty-four thousand, two hundred".