476160 has 88 divisors (see below), whose sum is σ = 1572096. Its totient is φ = 122880.

The previous prime is 476143. The next prime is 476167. The reversal of 476160 is 61674.

476160 = 226² + 227² + ... + 234².

476160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 476160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (476167) by changing a digit.

476160 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 (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15345 + ... + 15375.

2⁴⁷⁶¹⁶⁰ is an apocalyptic number.

476160 is a gapful number since it is divisible by the number (40) 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 476160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786048).

476160 is an abundant number, since it is smaller than the sum of its proper divisors (1095936).

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

476160 is a wasteful number, since it uses less digits than its factorization.

476160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 476160 is about 690.0434768911. The cubic root of 476160 is about 78.0880006135.

It can be divided in two parts, 476 and 160, that added together give a palindrome (636).

The spelling of 476160 in words is "four hundred seventy-six thousand, one hundred sixty".