4468391800 has 48 divisors (see below), whose sum is σ = 10432591200. Its totient is φ = 1779859200.

The previous prime is 4468391789. The next prime is 4468391813. The reversal of 4468391800 is 81938644.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1060 + ... + 94540.

It is an arithmetic number, because the mean of its divisors is an integer number (217345650).

Almost surely, 2^4468391800 is an apocalyptic number.

4468391800 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 4468391800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5216295600).

4468391800 is an abundant number, since it is smaller than the sum of its proper divisors (5964199400).

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

4468391800 is a wasteful number, since it uses less digits than its factorization.

4468391800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93736 (or 93727 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 43.

The square root of 4468391800 is about 66846.0305478194. The cubic root of 4468391800 is about 1647.0890579034.

The spelling of 4468391800 in words is "four billion, four hundred sixty-eight million, three hundred ninety-one thousand, eight hundred".