476544 has 64 divisors (see below), whose sum is σ = 1358640. Its totient is φ = 147456.

The previous prime is 476519. The next prime is 476579. The reversal of 476544 is 445674.

476544 = 42² + 43² + ... + 114².

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

476544 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 7 ways as a sum of consecutive naturals, for example, 6492 + ... + 6564.

2⁴⁷⁶⁵⁴⁴ 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 476544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679320).

476544 is an abundant number, since it is smaller than the sum of its proper divisors (882096).

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

476544 is a wasteful number, since it uses less digits than its factorization.

476544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 95 counting only the distinct ones).

The product of its digits is 13440, while the sum is 30.

The square root of 476544 is about 690.3216641537. The cubic root of 476544 is about 78.1089863712.

Adding to 476544 its product of digits (13440), we get a palindrome (489984).

The spelling of 476544 in words is "four hundred seventy-six thousand, five hundred forty-four".