456289 has 8 divisors (see below), whose sum is σ = 483840. Its totient is φ = 429600.

The previous prime is 456283. The next prime is 456293. The reversal of 456289 is 982654.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 456289 - 2¹⁷ = 325217 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (456283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1092 + ... + 1450.

It is an arithmetic number, because the mean of its divisors is an integer number (60480).

2⁴⁵⁶²⁸⁹ is an apocalyptic number.

It is an amenable number.

456289 is a deficient number, since it is larger than the sum of its proper divisors (27551).

456289 is a wasteful number, since it uses less digits than its factorization.

456289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431.

The product of its digits is 17280, while the sum is 34.

The square root of 456289 is about 675.4916727836. The cubic root of 456289 is about 76.9862796715.

The spelling of 456289 in words is "four hundred fifty-six thousand, two hundred eighty-nine".