4564212224 has 320 divisors, whose sum is σ = 12002981760. Its totient is φ = 1698693120.

The previous prime is 4564212193. The next prime is 4564212227. The reversal of 4564212224 is 4222124654.

It is a super-2 number, since 2×4564212224² = 41664066451422052352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (4564212227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23648672 + ... + 23648864.

It is an arithmetic number, because the mean of its divisors is an integer number (37509318).

Almost surely, 2^4564212224 is an apocalyptic number.

4564212224 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 4564212224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6001490880).

4564212224 is an abundant number, since it is smaller than the sum of its proper divisors (7438769536).

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

4564212224 is a wasteful number, since it uses less digits than its factorization.

4564212224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 255 counting only the distinct ones).

The product of its digits is 30720, while the sum is 32.

The square root of 4564212224 is about 67558.9536923123. The cubic root of 4564212224 is about 1658.7793106411.

Adding to 4564212224 its reverse (4222124654), we get a palindrome (8786336878).

The spelling of 4564212224 in words is "four billion, five hundred sixty-four million, two hundred twelve thousand, two hundred twenty-four".