289946916 has 216 divisors, whose sum is σ = 923700960. Its totient is φ = 76204800.

The previous prime is 289946887. The next prime is 289946929. The reversal of 289946916 is 619649982.

289946916 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×289946916² = 168138428195822112, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1374051 + ... + 1374261.

Almost surely, 2^289946916 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 289946916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461850480).

289946916 is an abundant number, since it is smaller than the sum of its proper divisors (633754044).

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

289946916 is a wasteful number, since it uses less digits than its factorization.

289946916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 283 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 54.

The square root of 289946916 is about 17027.8276946885. The cubic root of 289946916 is about 661.8702051404.

The spelling of 289946916 in words is "two hundred eighty-nine million, nine hundred forty-six thousand, nine hundred sixteen".