• Sorting the digits of 2^{476} in ascending order we obtain a prime of 137 digits.

• 476 can be written using four 4's:

476 has 12 divisors (see below), whose sum is σ = 1008. Its totient is φ = 192.

The previous prime is 467. The next prime is 479. The reversal of 476 is 674.

476 = T_{8} + T_{9} + ... +
T_{14}.

476 = 5^{2} + 6^{2} + ... + 11^{2}.

476 is nontrivially palindromic in base 6 and base 11.

476 is an admirable number.

It is a hoax number, since the sum of its digits (17) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an alternating number because its digits alternate between even and odd.

476 is an undulating number in base 11.

Its product of digits (168) is a multiple of the sum of its prime factors (28).

It is a plaindrome in base 9 and base 12.

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 476.

It is not an unprimeable number, because it can be changed into a prime (479) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20 + ... + 36.

It is an arithmetic number, because the mean of its divisors is an integer number (84).

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504).

476 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

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

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

The sum of its prime factors is 28 (or 26 counting only the distinct ones).

The product of its digits is 168, while the sum is 17.

The square root of 476 is about 21.8174242293. The cubic root of 476 is about 7.8079253218.

476 divided by its sum of digits (17) gives a triangular number (28 = T_{7}).

It can be divided in two parts, 47 and 6, that multiplied together give a palindrome (282).

The spelling of 476 in words is "four hundred seventy-six", and thus it is an aban number.

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