4864224 has 48 divisors (see below), whose sum is σ = 13329792. Its totient is φ = 1550208.

The previous prime is 4864217. The next prime is 4864229. The reversal of 4864224 is 4224684.

It is a tau number, because it is divible by the number of its divisors (48).

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 = 4864191 and 4864200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4864229) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1107 + ... + 3309.

It is an arithmetic number, because the mean of its divisors is an integer number (277704).

Almost surely, 2^4864224 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 4864224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6664896).

4864224 is an abundant number, since it is smaller than the sum of its proper divisors (8465568).

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

4864224 is a wasteful number, since it uses less digits than its factorization.

4864224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2239 (or 2231 counting only the distinct ones).

The product of its digits is 12288, while the sum is 30.

The square root of 4864224 is about 2205.4985830873. The cubic root of 4864224 is about 169.4355442746.

The spelling of 4864224 in words is "four million, eight hundred sixty-four thousand, two hundred twenty-four".