467289 has 14 divisors (see below), whose sum is σ = 701706. Its totient is φ = 311040.

The previous prime is 467261. The next prime is 467293. The reversal of 467289 is 982764.

It can be written as a sum of positive squares in only one way, i.e., 455625 + 11664 = 675^2 + 108^2 .

It is not a de Polignac number, because 467289 - 2⁹ = 466777 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (467209) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 409 + ... + 1049.

2⁴⁶⁷²⁸⁹ is an apocalyptic number.

It is an amenable number.

467289 is a deficient number, since it is larger than the sum of its proper divisors (234417).

467289 is an frugal number, since it uses more digits than its factorization.

467289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659 (or 644 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 467289 is about 683.5854006633. The cubic root of 467289 is about 77.6000234704.

It can be divided in two parts, 4672 and 89, that added together give a square (4761 = 69²).

The spelling of 467289 in words is "four hundred sixty-seven thousand, two hundred eighty-nine".