456489 has 32 divisors (see below), whose sum is σ = 777600. Its totient is φ = 262080.

The previous prime is 456461. The next prime is 456499. The reversal of 456489 is 984654.

456489 is a `hidden beast` number, since 4 + 5 + 648 + 9 = 666.

It is not a de Polignac number, because 456489 - 2⁵ = 456457 is a prime.

Its product of digits (34560) is a multiple of the sum of its prime divisors (96).

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 456489.

It is not an unprimeable number, because it can be changed into a prime (456409) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8587 + ... + 8639.

It is an arithmetic number, because the mean of its divisors is an integer number (24300).

2⁴⁵⁶⁴⁸⁹ is an apocalyptic number.

It is an amenable number.

456489 is a deficient number, since it is larger than the sum of its proper divisors (321111).

456489 is a wasteful number, since it uses less digits than its factorization.

456489 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 96 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 456489 is about 675.6396968799. The cubic root of 456489 is about 76.9975262038.

The spelling of 456489 in words is "four hundred fifty-six thousand, four hundred eighty-nine".