477663 has 8 divisors (see below), whose sum is σ = 644400. Its totient is φ = 314688.

The previous prime is 477637. The next prime is 477671. The reversal of 477663 is 366774.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 477663 - 2¹⁰ = 476639 is a prime.

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 477663.

It is not an unprimeable number, because it can be changed into a prime (477623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 628 + ... + 1161.

It is an arithmetic number, because the mean of its divisors is an integer number (80550).

2⁴⁷⁷⁶⁶³ is an apocalyptic number.

477663 is a deficient number, since it is larger than the sum of its proper divisors (166737).

477663 is a wasteful number, since it uses less digits than its factorization.

477663 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1881.

The product of its digits is 21168, while the sum is 33.

The square root of 477663 is about 691.1316806514. The cubic root of 477663 is about 78.1700759608.

Subtracting from 477663 its reverse (366774), we obtain a square (110889 = 333²).

The spelling of 477663 in words is "four hundred seventy-seven thousand, six hundred sixty-three".