456645 has 16 divisors (see below), whose sum is σ = 835200. Its totient is φ = 208704.

The previous prime is 456641. The next prime is 456647. The reversal of 456645 is 546654.

It is not a de Polignac number, because 456645 - 2² = 456641 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456641) 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 15 ways as a sum of consecutive naturals, for example, 2070 + ... + 2279.

It is an arithmetic number, because the mean of its divisors is an integer number (52200).

2⁴⁵⁶⁶⁴⁵ is an apocalyptic number.

It is an amenable number.

456645 is a deficient number, since it is larger than the sum of its proper divisors (378555).

456645 is a wasteful number, since it uses less digits than its factorization.

456645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4364.

The product of its digits is 14400, while the sum is 30.

The square root of 456645 is about 675.7551331659. The cubic root of 456645 is about 77.0062962187.

Subtracting 456645 from its reverse (546654), we obtain a palindrome (90009).

The spelling of 456645 in words is "four hundred fifty-six thousand, six hundred forty-five".