477712 has 20 divisors (see below), whose sum is σ = 940540. Its totient is φ = 235008.

The previous prime is 477677. The next prime is 477721. The reversal of 477712 is 217774.

It can be written as a sum of positive squares in 2 ways, for example, as 364816 + 112896 = 604^2 + 336^2 .

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 964 + ... + 1372.

It is an arithmetic number, because the mean of its divisors is an integer number (47027).

2⁴⁷⁷⁷¹² is an apocalyptic number.

It is an amenable number.

477712 is a deficient number, since it is larger than the sum of its proper divisors (462828).

477712 is a wasteful number, since it uses less digits than its factorization.

477712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 484 counting only the distinct ones).

The product of its digits is 2744, while the sum is 28.

The square root of 477712 is about 691.1671288480. The cubic root of 477712 is about 78.1727488373.

The spelling of 477712 in words is "four hundred seventy-seven thousand, seven hundred twelve", and thus it is an iban number.