477 has 6 divisors (see below), whose sum is σ = 702. Its totient is φ = 312.

The previous prime is 467. The next prime is 479. The reversal of 477 is 774.

It can be divided in two parts, 4 and 77, that added together give a 4-th power (81 = 3^{4}).

477 is nontrivially palindromic in base 4.

It can be written as a sum of positive squares in only one way, i.e., 441 + 36 = 21^2 + 6^2 .

It is not a de Polignac number, because 477 - 2^{4} = 461 is a prime.

477 is an undulating number in base 4.

477 is a lucky number.

It is a plaindrome in base 10, base 12 and base 16.

It is a congruent number.

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

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18 + ... + 35.

It is an arithmetic number, because the mean of its divisors is an integer number (117).

477 is the 18-th pentagonal number.

It is an amenable number.

477 is a deficient number, since it is larger than the sum of its proper divisors (225).

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

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

The sum of its prime factors is 59 (or 56 counting only the distinct ones).

The product of its digits is 196, while the sum is 18.

The square root of 477 is about 21.8403296678. The cubic root of 477 is about 7.8133892321.

The spelling of 477 in words is "four hundred seventy-seven", and thus it is an aban number and an iban number.

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