289948960 has 192 divisors, whose sum is σ = 827366400. Its totient is φ = 93929472.

The previous prime is 289948937. The next prime is 289948979. The reversal of 289948960 is 69849982.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2565864 + ... + 2565976.

It is an arithmetic number, because the mean of its divisors is an integer number (4309200).

Almost surely, 2^289948960 is an apocalyptic number.

289948960 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 289948960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413683200).

289948960 is an abundant number, since it is smaller than the sum of its proper divisors (537417440).

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

289948960 is a wasteful number, since it uses less digits than its factorization.

289948960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 55.

The square root of 289948960 is about 17027.8877139826. The cubic root of 289948960 is about 661.8717604360.

The spelling of 289948960 in words is "two hundred eighty-nine million, nine hundred forty-eight thousand, nine hundred sixty".