289282960 has 40 divisors (see below), whose sum is σ = 701830080. Its totient is φ = 110681472.

The previous prime is 289282943. The next prime is 289282969. The reversal of 289282960 is 69282982.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a self number, because there is not a number n which added to its sum of digits gives 289282960.

It is not an unprimeable number, because it can be changed into a prime (289282969) 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 7 ways as a sum of consecutive naturals, for example, 76770 + ... + 80449.

It is an arithmetic number, because the mean of its divisors is an integer number (17545752).

Almost surely, 2^289282960 is an apocalyptic number.

289282960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

289282960 is an abundant number, since it is smaller than the sum of its proper divisors (412547120).

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

289282960 is a wasteful number, since it uses less digits than its factorization.

289282960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157255 (or 157249 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 46.

The square root of 289282960 is about 17008.3203168332. The cubic root of 289282960 is about 661.3646085011.

The spelling of 289282960 in words is "two hundred eighty-nine million, two hundred eighty-two thousand, nine hundred sixty".