4144800 has 144 divisors (see below), whose sum is σ = 14811552. Its totient is φ = 998400.

The previous prime is 4144783. The next prime is 4144801. The reversal of 4144800 is 84414.

It is not an unprimeable number, because it can be changed into a prime (4144801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26322 + ... + 26478.

It is an arithmetic number, because the mean of its divisors is an integer number (102858).

Almost surely, 2^4144800 is an apocalyptic number.

4144800 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 4144800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7405776).

4144800 is an abundant number, since it is smaller than the sum of its proper divisors (10666752).

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

4144800 is a wasteful number, since it uses less digits than its factorization.

4144800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 4144800 is about 2035.8781888905. The cubic root of 4144800 is about 160.6329097731.

The spelling of 4144800 in words is "four million, one hundred forty-four thousand, eight hundred".