289408144 has 15 divisors (see below), whose sum is σ = 560860153. Its totient is φ = 144670048.

The previous prime is 289408129. The next prime is 289408177. The reversal of 289408144 is 441804982.

It is a happy number.

The square root of 289408144 is 17012.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 29811600 + 259596544 = 5460^2 + 16112^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 289408097 and 289408106.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 65922 + ... + 70174.

Almost surely, 2^289408144 is an apocalyptic number.

289408144 is the 17012-nd square number.

It is an amenable number.

289408144 is a deficient number, since it is larger than the sum of its proper divisors (271452009).

289408144 is an frugal number, since it uses more digits than its factorization.

289408144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8514 (or 4255 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 40.

The cubic root of 289408144 is about 661.4599941489.

The spelling of 289408144 in words is "two hundred eighty-nine million, four hundred eight thousand, one hundred forty-four".