476784 has 120 divisors (see below), whose sum is σ = 1702272. Its totient is φ = 120960.

The previous prime is 476783. The next prime is 476803. The reversal of 476784 is 487674.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

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 476784.

It is not an unprimeable number, because it can be changed into a prime (476783) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11067 + ... + 11109.

2⁴⁷⁶⁷⁸⁴ is an apocalyptic number.

476784 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 476784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (851136).

476784 is an abundant number, since it is smaller than the sum of its proper divisors (1225488).

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

476784 is a wasteful number, since it uses less digits than its factorization.

476784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 66 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 476784 is about 690.4954742792. The cubic root of 476784 is about 78.1220967454.

It can be divided in two parts, 4767 and 84, that added together give a triangular number (4851 = T₉₈).

The spelling of 476784 in words is "four hundred seventy-six thousand, seven hundred eighty-four".