456989 has 4 divisors (see below), whose sum is σ = 492156. Its totient is φ = 421824.

The previous prime is 456979. The next prime is 456991. The reversal of 456989 is 989654.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 24025 + 432964 = 155^2 + 658^2 .

It is not a de Polignac number, because 456989 - 2¹⁶ = 391453 is a prime.

It is a super-2 number, since 2×456989² = 417677892242, which contains 22 as substring.

It is an alternating number because its digits alternate between even and odd.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456949) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17564 + ... + 17589.

It is an arithmetic number, because the mean of its divisors is an integer number (123039).

2⁴⁵⁶⁹⁸⁹ is an apocalyptic number.

It is an amenable number.

456989 is a deficient number, since it is larger than the sum of its proper divisors (35167).

456989 is a wasteful number, since it uses less digits than its factorization.

456989 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35166.

The product of its digits is 77760, while the sum is 41.

The square root of 456989 is about 676.0096153162. The cubic root of 456989 is about 77.0256281701.

The spelling of 456989 in words is "four hundred fifty-six thousand, nine hundred eighty-nine".