4211424 has 72 divisors (see below), whose sum is σ = 13693680. Its totient is φ = 1202688.

The previous prime is 4211423. The next prime is 4211491. The reversal of 4211424 is 4241124.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 4211397 and 4211406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4211423) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 972 + ... + 3060.

It is an arithmetic number, because the mean of its divisors is an integer number (190190).

Almost surely, 2^4211424 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 4211424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6846840).

4211424 is an abundant number, since it is smaller than the sum of its proper divisors (9482256).

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

4211424 is a wasteful number, since it uses less digits than its factorization.

4211424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2112 (or 2101 counting only the distinct ones).

The product of its digits is 256, while the sum is 18.

The square root of 4211424 is about 2052.1754310974. The cubic root of 4211424 is about 161.4890163687.

Adding to 4211424 its reverse (4241124), we get a palindrome (8452548).

The spelling of 4211424 in words is "four million, two hundred eleven thousand, four hundred twenty-four".