4398468000 has 192 divisors, whose sum is σ = 14463671040. Its totient is φ = 1168512000.

The previous prime is 4398467999. The next prime is 4398468029. The reversal of 4398468000 is 8648934.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4307490 + ... + 4308510.

It is an arithmetic number, because the mean of its divisors is an integer number (75331620).

Almost surely, 2^4398468000 is an apocalyptic number.

4398468000 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 4398468000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7231835520).

4398468000 is an abundant number, since it is smaller than the sum of its proper divisors (10065203040).

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

4398468000 is a wasteful number, since it uses less digits than its factorization.

4398468000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1408 (or 1390 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 4398468000 is about 66320.9469172448. The cubic root of 4398468000 is about 1638.4523372780.

The spelling of 4398468000 in words is "four billion, three hundred ninety-eight million, four hundred sixty-eight thousand".