289144960 has 128 divisors (see below), whose sum is σ = 777288960. Its totient is φ = 102051840.

The previous prime is 289144957. The next prime is 289144963. The reversal of 289144960 is 69441982.

It is an interprime number because it is at equal distance from previous prime (289144957) and next prime (289144963).

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (289144963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 190605 + ... + 192115.

It is an arithmetic number, because the mean of its divisors is an integer number (6072570).

Almost surely, 2^289144960 is an apocalyptic number.

289144960 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 289144960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388644480).

289144960 is an abundant number, since it is smaller than the sum of its proper divisors (488144000).

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

289144960 is a wasteful number, since it uses less digits than its factorization.

289144960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1566 (or 1554 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 43.

The square root of 289144960 is about 17004.2629949081. The cubic root of 289144960 is about 661.2594256348.

The spelling of 289144960 in words is "two hundred eighty-nine million, one hundred forty-four thousand, nine hundred sixty".