4284144 has 80 divisors (see below), whose sum is σ = 12618240. Its totient is φ = 1391040.

The previous prime is 4284121. The next prime is 4284157. The reversal of 4284144 is 4414824.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 20199 + ... + 20409.

It is an arithmetic number, because the mean of its divisors is an integer number (157728).

Almost surely, 2^4284144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4284144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6309120).

4284144 is an abundant number, since it is smaller than the sum of its proper divisors (8334096).

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

4284144 is a wasteful number, since it uses less digits than its factorization.

4284144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 263 counting only the distinct ones).

The product of its digits is 4096, while the sum is 27.

The square root of 4284144 is about 2069.8173832491. The cubic root of 4284144 is about 162.4132112494.

Adding to 4284144 its reverse (4414824), we get a palindrome (8698968).

The spelling of 4284144 in words is "four million, two hundred eighty-four thousand, one hundred forty-four".