289248960 has 672 divisors, whose sum is σ = 1284256512. Its totient is φ = 54190080.

The previous prime is 289248901. The next prime is 289248961. The reversal of 289248960 is 69842982.

289248960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×289248960² = 167329921722163200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (289248961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6726699 + ... + 6726741.

It is an arithmetic number, because the mean of its divisors is an integer number (1911096).

Almost surely, 2^289248960 is an apocalyptic number.

289248960 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 289248960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642128256).

289248960 is an abundant number, since it is smaller than the sum of its proper divisors (995007552).

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

289248960 is a wasteful number, since it uses less digits than its factorization.

289248960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The square root of 289248960 is about 17007.3207766538. The cubic root of 289248960 is about 661.3386969879.

The spelling of 289248960 in words is "two hundred eighty-nine million, two hundred forty-eight thousand, nine hundred sixty".