884468000 has 192 divisors, whose sum is σ = 2382543072. Its totient is φ = 320716800.

The previous prime is 884467951. The next prime is 884468021. The reversal of 884468000 is 864488.

884468000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 228493456 + 655974544 = 15116^2 + 25612^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3795884 + ... + 3796116.

Almost surely, 2^884468000 is an apocalyptic number.

884468000 is a gapful number since it is divisible by the number (80) 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 884468000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1191271536).

884468000 is an abundant number, since it is smaller than the sum of its proper divisors (1498075072).

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

884468000 is a wasteful number, since it uses less digits than its factorization.

884468000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 38.

The square root of 884468000 is about 29740.0067249488. The cubic root of 884468000 is about 959.9030573405.

The spelling of 884468000 in words is "eight hundred eighty-four million, four hundred sixty-eight thousand".