906404 has 6 divisors (see below), whose sum is σ = 1586214. Its totient is φ = 453200.

The previous prime is 906403. The next prime is 906421. The reversal of 906404 is 404609.

906404 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 906304 + 100 = 952^2 + 10^2 .

It is a super-2 number, since 2×906404² = 1643136422432, which contains 22 as substring.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 906404.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 906404.

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

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 113297 + ... + 113304.

It is an arithmetic number, because the mean of its divisors is an integer number (264369).

2⁹⁰⁶⁴⁰⁴ is an apocalyptic number.

It is an amenable number.

906404 is a deficient number, since it is larger than the sum of its proper divisors (679810).

906404 is a wasteful number, since it uses less digits than its factorization.

906404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226605 (or 226603 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 906404 is about 952.0525195597. The cubic root of 906404 is about 96.7773972225. Note that the first 3 decimals are identical.

The spelling of 906404 in words is "nine hundred six thousand, four hundred four".