424144 has 30 divisors (see below), whose sum is σ = 957714. Its totient is φ = 181440.

The previous prime is 424139. The next prime is 424147. The reversal of 424144 is 441424.

It can be written as a sum of positive squares in only one way, i.e., 345744 + 78400 = 588^2 + 280^2 .

It is a hoax number, since the sum of its digits (19) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424147) by changing a digit.

424144 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 514 + ... + 1054.

2⁴²⁴¹⁴⁴ 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 424144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478857).

424144 is an abundant number, since it is smaller than the sum of its proper divisors (533570).

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

424144 is a wasteful number, since it uses less digits than its factorization.

424144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 550 counting only the distinct ones).

The product of its digits is 512, while the sum is 19.

The square root of 424144 is about 651.2633875783. The cubic root of 424144 is about 75.1342189197.

Adding to 424144 its reverse (441424), we get a palindrome (865568).

It can be divided in two parts, 42 and 4144, that added together give a triangular number (4186 = T₉₁).

The spelling of 424144 in words is "four hundred twenty-four thousand, one hundred forty-four", and thus it is an iban number.