4260144 has 80 divisors (see below), whose sum is σ = 13015040. Its totient is φ = 1175040.

The previous prime is 4260133. The next prime is 4260167. The reversal of 4260144 is 4410624.

4260144 = T₇₂ + T₇₃ + ... + T₂₉₅.

4260144 is digitally balanced in base 5, 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 (21).

It is a self number, because there is not a number n which added to its sum of digits gives 4260144.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10212 + ... + 10620.

It is an arithmetic number, because the mean of its divisors is an integer number (162688).

Almost surely, 2^4260144 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 4260144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6507520).

4260144 is an abundant number, since it is smaller than the sum of its proper divisors (8754896).

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

4260144 is a wasteful number, since it uses less digits than its factorization.

4260144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 4260144 is about 2064.0116278742. The cubic root of 4260144 is about 162.1093606951.

Adding to 4260144 its reverse (4410624), we get a palindrome (8670768).

The spelling of 4260144 in words is "four million, two hundred sixty thousand, one hundred forty-four".