476406 has 48 divisors (see below), whose sum is σ = 1248000. Its totient is φ = 128304.

The previous prime is 476401. The next prime is 476407. The reversal of 476406 is 604674.

476406 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 476406.

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 476406.

It is not an unprimeable number, because it can be changed into a prime (476401) 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 23 ways as a sum of consecutive naturals, for example, 2295 + ... + 2493.

It is an arithmetic number, because the mean of its divisors is an integer number (26000).

2⁴⁷⁶⁴⁰⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 476406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624000).

476406 is an abundant number, since it is smaller than the sum of its proper divisors (771594).

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

476406 is a wasteful number, since it uses less digits than its factorization.

476406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 476406 is about 690.2217035127. The cubic root of 476406 is about 78.1014459127.

The spelling of 476406 in words is "four hundred seventy-six thousand, four hundred six".