906456 has 32 divisors (see below), whose sum is σ = 2289600. Its totient is φ = 299040.

The previous prime is 906431. The next prime is 906461. The reversal of 906456 is 654609.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

906456 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, 4191 + ... + 4401.

It is an arithmetic number, because the mean of its divisors is an integer number (71550).

2⁹⁰⁶⁴⁵⁶ is an apocalyptic number.

It is an amenable number.

906456 is an abundant number, since it is smaller than the sum of its proper divisors (1383144).

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

906456 is a wasteful number, since it uses less digits than its factorization.

906456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 395 counting only the distinct ones).

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

The square root of 906456 is about 952.0798285858. The cubic root of 906456 is about 96.7792478794.

The spelling of 906456 in words is "nine hundred six thousand, four hundred fifty-six".