289947280 has 80 divisors (see below), whose sum is σ = 788413824. Its totient is φ = 97090560.

The previous prime is 289947271. The next prime is 289947283. The reversal of 289947280 is 82749982.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (289947283) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 18060 + ... + 30100.

Almost surely, 2^289947280 is an apocalyptic number.

289947280 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 289947280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394206912).

289947280 is an abundant number, since it is smaller than the sum of its proper divisors (498466544).

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

289947280 is a wasteful number, since it uses less digits than its factorization.

289947280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12104 (or 12098 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 49.

The square root of 289947280 is about 17027.8383830714. The cubic root of 289947280 is about 661.8704821114.

The spelling of 289947280 in words is "two hundred eighty-nine million, nine hundred forty-seven thousand, two hundred eighty".