906409 has 8 divisors (see below), whose sum is σ = 1069568. Its totient is φ = 751680.

The previous prime is 906403. The next prime is 906421. The reversal of 906409 is 904609.

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

It is a cyclic number.

It is not a de Polignac number, because 906409 - 2⁵ = 906377 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (906403) by changing a digit.

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, 1872 + ... + 2305.

It is an arithmetic number, because the mean of its divisors is an integer number (133696).

2⁹⁰⁶⁴⁰⁹ is an apocalyptic number.

It is an amenable number.

906409 is a deficient number, since it is larger than the sum of its proper divisors (163159).

906409 is a wasteful number, since it uses less digits than its factorization.

906409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4215.

The product of its (nonzero) digits is 1944, while the sum is 28.

The square root of 906409 is about 952.0551454616. The cubic root of 906409 is about 96.7775751734. Note that the first 3 decimals are identical.

The spelling of 906409 in words is "nine hundred six thousand, four hundred nine".