476766 has 32 divisors (see below), whose sum is σ = 1082400. Its totient is φ = 157464.

The previous prime is 476759. The next prime is 476783. The reversal of 476766 is 667674.

It is a self number, because there is not a number n which added to its sum of digits gives 476766.

It is a congruent number.

It is an unprimeable number.

476766 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 15 ways as a sum of consecutive naturals, for example, 4320 + ... + 4428.

It is an arithmetic number, because the mean of its divisors is an integer number (33825).

2⁴⁷⁶⁷⁶⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 476766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541200).

476766 is an abundant number, since it is smaller than the sum of its proper divisors (605634).

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

476766 is an equidigital number, since it uses as much as digits as its factorization.

476766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 114 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The square root of 476766 is about 690.4824400374. The cubic root of 476766 is about 78.1211136200.

The spelling of 476766 in words is "four hundred seventy-six thousand, seven hundred sixty-six".