424424 has 64 divisors (see below), whose sum is σ = 1088640. Its totient is φ = 149760.

The previous prime is 424423. The next prime is 424429.

424424 is nontrivially palindromic in base 10.

424424 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 424396 and 424405.

It is not an unprimeable number, because it can be changed into a prime (424423) by changing a digit.

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, 7982 + ... + 8034.

It is an arithmetic number, because the mean of its divisors is an integer number (17010).

2⁴²⁴⁴²⁴ is an apocalyptic number.

424424 is a gapful number since it is divisible by the number (44) 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 424424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544320).

424424 is an abundant number, since it is smaller than the sum of its proper divisors (664216).

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

424424 is a wasteful number, since it uses less digits than its factorization.

424424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 86 counting only the distinct ones).

The product of its digits is 1024, while the sum is 20.

The square root of 424424 is about 651.4783189025. The cubic root of 424424 is about 75.1507486468.

It can be divided in two parts, 424 and 424, that added together give a palindrome (848).

The spelling of 424424 in words is "four hundred twenty-four thousand, four hundred twenty-four", and thus it is an iban number.