476763 has 16 divisors (see below), whose sum is σ = 738816. Its totient is φ = 267840.

The previous prime is 476759. The next prime is 476783. The reversal of 476763 is 367674.

It is not a de Polignac number, because 476763 - 2² = 476759 is a prime.

It is an Ulam number.

It is a d-powerful number, because it can be written as 4⁴ + 7⁴ + 7⁵ + 6³ + 6⁷ + 3¹¹ .

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

It is not an unprimeable number, because it can be changed into a prime (476713) 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 15 ways as a sum of consecutive naturals, for example, 1378 + ... + 1688.

It is an arithmetic number, because the mean of its divisors is an integer number (46176).

2⁴⁷⁶⁷⁶³ is an apocalyptic number.

476763 is a deficient number, since it is larger than the sum of its proper divisors (262053).

476763 is a wasteful number, since it uses less digits than its factorization.

476763 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394.

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

The square root of 476763 is about 690.4802676399. The cubic root of 476763 is about 78.1209497634.

It can be divided in two parts, 4 and 76763, that added together give a palindrome (76767).

The spelling of 476763 in words is "four hundred seventy-six thousand, seven hundred sixty-three".