289742880 has 288 divisors, whose sum is σ = 1081092096. Its totient is φ = 65028096.

The previous prime is 289742851. The next prime is 289742903. The reversal of 289742880 is 88247982.

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2281377 + ... + 2281503.

It is an arithmetic number, because the mean of its divisors is an integer number (3753792).

Almost surely, 2^289742880 is an apocalyptic number.

289742880 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 289742880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540546048).

289742880 is an abundant number, since it is smaller than the sum of its proper divisors (791349216).

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

289742880 is a wasteful number, since it uses less digits than its factorization.

289742880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 48.

The square root of 289742880 is about 17021.8353887000. The cubic root of 289742880 is about 661.7149157508.

The spelling of 289742880 in words is "two hundred eighty-nine million, seven hundred forty-two thousand, eight hundred eighty".