289974816 has 144 divisors (see below), whose sum is σ = 866829600. Its totient is φ = 95344128.

The previous prime is 289974803. The next prime is 289974829. The reversal of 289974816 is 618479982.

It is an interprime number because it is at equal distance from previous prime (289974803) and next prime (289974829).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a zygodrome in base 9.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 691855 + ... + 692273.

It is an arithmetic number, because the mean of its divisors is an integer number (6019650).

Almost surely, 2^289974816 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 289974816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433414800).

289974816 is an abundant number, since it is smaller than the sum of its proper divisors (576854784).

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

289974816 is an equidigital number, since it uses as much as digits as its factorization.

289974816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 513 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The square root of 289974816 is about 17028.6469221721. The cubic root of 289974816 is about 661.8914338383.

The spelling of 289974816 in words is "two hundred eighty-nine million, nine hundred seventy-four thousand, eight hundred sixteen".