476736 has 56 divisors (see below), whose sum is σ = 1365504. Its totient is φ = 145920.

The previous prime is 476719. The next prime is 476737. The reversal of 476736 is 637674.

476736 = T₁₄ + T₁₅ + ... + T₁₄₁.

It is a junction number, because it is equal to n+sod(n) for n = 476697 and 476706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (476737) 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 7 ways as a sum of consecutive naturals, for example, 2401 + ... + 2591.

It is an arithmetic number, because the mean of its divisors is an integer number (24384).

2⁴⁷⁶⁷³⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 476736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682752).

476736 is an abundant number, since it is smaller than the sum of its proper divisors (888768).

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

476736 is a wasteful number, since it uses less digits than its factorization.

476736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 209 counting only the distinct ones).

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

The square root of 476736 is about 690.4607157543. The cubic root of 476736 is about 78.1194750226.

The spelling of 476736 in words is "four hundred seventy-six thousand, seven hundred thirty-six".