456906 has 16 divisors (see below), whose sum is σ = 920448. Its totient is φ = 151200.

The previous prime is 456901. The next prime is 456923. The reversal of 456906 is 609654.

It is not an unprimeable number, because it can be changed into a prime (456901) by changing a digit.

456906 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1486 + ... + 1766.

It is an arithmetic number, because the mean of its divisors is an integer number (57528).

2⁴⁵⁶⁹⁰⁶ is an apocalyptic number.

456906 is an abundant number, since it is smaller than the sum of its proper divisors (463542).

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

456906 is a wasteful number, since it uses less digits than its factorization.

456906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557.

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 456906 is about 675.9482228692. The cubic root of 456906 is about 77.0209646631.

The spelling of 456906 in words is "four hundred fifty-six thousand, nine hundred six".