289979280 has 120 divisors (see below), whose sum is σ = 977026752. Its totient is φ = 77075712.

The previous prime is 289979279. The next prime is 289979281. The reversal of 289979280 is 82979982.

289979280 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (289979279) and next prime (289979281).

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (289979281) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 350227 + ... + 351053.

Almost surely, 2^289979280 is an apocalyptic number.

289979280 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 289979280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488513376).

289979280 is an abundant number, since it is smaller than the sum of its proper divisors (687047472).

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

289979280 is a wasteful number, since it uses less digits than its factorization.

289979280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1333 (or 1324 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The square root of 289979280 is about 17028.7779949120. Note that the first 3 decimals coincide. The cubic root of 289979280 is about 661.8948303036.

The spelling of 289979280 in words is "two hundred eighty-nine million, nine hundred seventy-nine thousand, two hundred eighty".