476658 has 64 divisors (see below), whose sum is σ = 1317120. Its totient is φ = 124416.

The previous prime is 476647. The next prime is 476659. The reversal of 476658 is 856674.

It is a happy number.

It is an Ulam number.

Its product of digits (40320) is a multiple of the sum of its prime factors (128).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 476658.

It is not an unprimeable number, because it can be changed into a prime (476659) 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 31 ways as a sum of consecutive naturals, for example, 4866 + ... + 4962.

It is an arithmetic number, because the mean of its divisors is an integer number (20580).

2⁴⁷⁶⁶⁵⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 476658, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658560).

476658 is an abundant number, since it is smaller than the sum of its proper divisors (840462).

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

476658 is a wasteful number, since it uses less digits than its factorization.

476658 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 122 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 476658 is about 690.4042294193. The cubic root of 476658 is about 78.1152143477.

The spelling of 476658 in words is "four hundred seventy-six thousand, six hundred fifty-eight".