889473312 has 336 divisors, whose sum is σ = 3239127360. Its totient is φ = 234026496.

The previous prime is 889473293. The next prime is 889473313. The reversal of 889473312 is 213374988.

It is a tau number, because it is divible by the number of its divisors (336).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (889473313) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2122639 + ... + 2123057.

It is an arithmetic number, because the mean of its divisors is an integer number (9640260).

Almost surely, 2^889473312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 889473312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1619563680).

889473312 is an abundant number, since it is smaller than the sum of its proper divisors (2349654048).

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

889473312 is a wasteful number, since it uses less digits than its factorization.

889473312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 444 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 889473312 is about 29824.0391630644. The cubic root of 889473312 is about 961.7103883690.

The spelling of 889473312 in words is "eight hundred eighty-nine million, four hundred seventy-three thousand, three hundred twelve".