456601 has 8 divisors (see below), whose sum is σ = 475200. Its totient is φ = 438480.

The previous prime is 456587. The next prime is 456607. The reversal of 456601 is 106654.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-456601 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (456607) 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 7 ways as a sum of consecutive naturals, for example, 4135 + ... + 4243.

It is an arithmetic number, because the mean of its divisors is an integer number (59400).

2⁴⁵⁶⁶⁰¹ is an apocalyptic number.

It is an amenable number.

456601 is a deficient number, since it is larger than the sum of its proper divisors (18599).

456601 is a wasteful number, since it uses less digits than its factorization.

456601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239.

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 456601 is about 675.7225762101. The cubic root of 456601 is about 77.0038228270.

The spelling of 456601 in words is "four hundred fifty-six thousand, six hundred one".