4219824 has 80 divisors (see below), whose sum is σ = 13134080. Its totient is φ = 1140480.

The previous prime is 4219823. The next prime is 4219847. The reversal of 4219824 is 4289124.

4219824 is nontrivially palindromic in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 4219791 and 4219800.

It is not an unprimeable number, because it can be changed into a prime (4219823) 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, 6054 + ... + 6714.

It is an arithmetic number, because the mean of its divisors is an integer number (164176).

Almost surely, 2^4219824 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 4219824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6567040).

4219824 is an abundant number, since it is smaller than the sum of its proper divisors (8914256).

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

4219824 is a wasteful number, since it uses less digits than its factorization.

4219824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698 (or 692 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 4219824 is about 2054.2210202410. The cubic root of 4219824 is about 161.5963123689.

The spelling of 4219824 in words is "four million, two hundred nineteen thousand, eight hundred twenty-four".