4564823200 has 144 divisors (see below), whose sum is σ = 13080662784. Its totient is φ = 1522713600.

The previous prime is 4564823189. The next prime is 4564823231. The reversal of 4564823200 is 23284654.

It is a super-2 number, since 2×4564823200² = 41675221694516480000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 196185 + ... + 218215.

It is an arithmetic number, because the mean of its divisors is an integer number (90837936).

Almost surely, 2^4564823200 is an apocalyptic number.

4564823200 is a gapful number since it is divisible by the number (40) 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 4564823200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6540331392).

4564823200 is an abundant number, since it is smaller than the sum of its proper divisors (8515839584).

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

4564823200 is a wasteful number, since it uses less digits than its factorization.

4564823200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22095 (or 22082 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

The square root of 4564823200 is about 67563.4753398610. The cubic root of 4564823200 is about 1658.8533233498.

The spelling of 4564823200 in words is "four billion, five hundred sixty-four million, eight hundred twenty-three thousand, two hundred".