456561 has 12 divisors (see below), whose sum is σ = 753792. Its totient is φ = 260856.

The previous prime is 456559. The next prime is 456571. The reversal of 456561 is 165654.

It is a happy number.

456561 is a `hidden beast` number, since 4 + 5 + 656 + 1 = 666.

It is not a de Polignac number, because 456561 - 2¹ = 456559 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (456571) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3561 + ... + 3686.

It is an arithmetic number, because the mean of its divisors is an integer number (62816).

2⁴⁵⁶⁵⁶¹ is an apocalyptic number.

It is an amenable number.

456561 is a deficient number, since it is larger than the sum of its proper divisors (297231).

456561 is a wasteful number, since it uses less digits than its factorization.

456561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7260 (or 7257 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 456561 is about 675.6929776163. The cubic root of 456561 is about 77.0015741512.

It can be divided in two parts, 4 and 56561, that added together give a palindrome (56565).

The spelling of 456561 in words is "four hundred fifty-six thousand, five hundred sixty-one".