289260468 has 72 divisors (see below), whose sum is σ = 837712512. Its totient is φ = 82441152.

The previous prime is 289260449. The next prime is 289260469. The reversal of 289260468 is 864062982.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (289260469) 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, 121546 + ... + 123902.

It is an arithmetic number, because the mean of its divisors is an integer number (11634896).

Almost surely, 2^289260468 is an apocalyptic number.

289260468 is a gapful number since it is divisible by the number (28) 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 289260468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418856256).

289260468 is an abundant number, since it is smaller than the sum of its proper divisors (548452044).

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

289260468 is a wasteful number, since it uses less digits than its factorization.

289260468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2861 (or 2856 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 289260468 is about 17007.6590981828. The cubic root of 289260468 is about 661.3474675004.

The spelling of 289260468 in words is "two hundred eighty-nine million, two hundred sixty thousand, four hundred sixty-eight".