289971000 has 384 divisors, whose sum is σ = 1117022400. Its totient is φ = 67200000.

The previous prime is 289970999. The next prime is 289971047. The reversal of 289971000 is 179982.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2870950 + ... + 2871050.

Almost surely, 2^289971000 is an apocalyptic number.

289971000 is a gapful number since it is divisible by the number (20) 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 289971000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558511200).

289971000 is an abundant number, since it is smaller than the sum of its proper divisors (827051400).

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

289971000 is a wasteful number, since it uses less digits than its factorization.

289971000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 289971000 is about 17028.5348753203. The cubic root of 289971000 is about 661.8885303806. Note that the first 3 decimals are identical.

The spelling of 289971000 in words is "two hundred eighty-nine million, nine hundred seventy-one thousand".