456606 has 12 divisors (see below), whose sum is σ = 989352. Its totient is φ = 152196.

The previous prime is 456587. The next prime is 456607. The reversal of 456606 is 606654.

456606 is a `hidden beast` number, since 4 + 56 + 606 = 666.

It is a nialpdrome in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 456606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456607) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12666 + ... + 12701.

It is an arithmetic number, because the mean of its divisors is an integer number (82446).

2⁴⁵⁶⁶⁰⁶ is an apocalyptic number.

456606 is an abundant number, since it is smaller than the sum of its proper divisors (532746).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

456606 is a wasteful number, since it uses less digits than its factorization.

456606 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25375 (or 25372 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 456606 is about 675.7262759432. The cubic root of 456606 is about 77.0041039023.

The spelling of 456606 in words is "four hundred fifty-six thousand, six hundred six".