4664000224 has 96 divisors (see below), whose sum is σ = 10556904960. Its totient is φ = 2010355200.

The previous prime is 4664000221. The next prime is 4664000227. The reversal of 4664000224 is 4220004664.

It is an interprime number because it is at equal distance from previous prime (4664000221) and next prime (4664000227).

It is a junction number, because it is equal to n+sod(n) for n = 4664000192 and 4664000201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4664000221) 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, 557029 + ... + 565339.

It is an arithmetic number, because the mean of its divisors is an integer number (109967760).

Almost surely, 2^4664000224 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 4664000224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5278452480).

4664000224 is an abundant number, since it is smaller than the sum of its proper divisors (5892904736).

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

4664000224 is a wasteful number, since it uses less digits than its factorization.

4664000224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8424 (or 8416 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

The square root of 4664000224 is about 68293.4859558362. The cubic root of 4664000224 is about 1670.7809731231.

Adding to 4664000224 its reverse (4220004664), we get a palindrome (8884004888).

The spelling of 4664000224 in words is "four billion, six hundred sixty-four million, two hundred twenty-four", and thus it is an aban number.