4241424 has 80 divisors (see below), whose sum is σ = 12409920. Its totient is φ = 1236480.

The previous prime is 4241411. The next prime is 4241429.

4241424 is nontrivially palindromic in base 10.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4241424.

It is not an unprimeable number, because it can be changed into a prime (4241429) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15174 + ... + 15450.

It is an arithmetic number, because the mean of its divisors is an integer number (155124).

Almost surely, 2^4241424 is an apocalyptic number.

4241424 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 4241424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6204960).

4241424 is an abundant number, since it is smaller than the sum of its proper divisors (8168496).

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

4241424 is a wasteful number, since it uses less digits than its factorization.

4241424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 322 counting only the distinct ones).

The product of its digits is 1024, while the sum is 21.

The square root of 4241424 is about 2059.4717769370. The cubic root of 4241424 is about 161.8715641057.

The spelling of 4241424 in words is "four million, two hundred forty-one thousand, four hundred twenty-four".