472406 has 16 divisors (see below), whose sum is σ = 784080. Its totient is φ = 211680.

The previous prime is 472399. The next prime is 472411. The reversal of 472406 is 604274.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 472406.

It is an unprimeable number.

472406 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, 2300 + ... + 2496.

It is an arithmetic number, because the mean of its divisors is an integer number (49005).

2⁴⁷²⁴⁰⁶ is an apocalyptic number.

472406 is a deficient number, since it is larger than the sum of its proper divisors (311674).

472406 is a wasteful number, since it uses less digits than its factorization.

472406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319.

The product of its (nonzero) digits is 1344, while the sum is 23.

The square root of 472406 is about 687.3179759034. The cubic root of 472406 is about 77.8822461646.

It can be divided in two parts, 472 and 406, that added together give a palindrome (878).

The spelling of 472406 in words is "four hundred seventy-two thousand, four hundred six".