481176 has 48 divisors (see below), whose sum is σ = 1343160. Its totient is φ = 155520.

The previous prime is 481171. The next prime is 481177. The reversal of 481176 is 671184.

It is a happy number.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

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 481176.

It is not an unprimeable number, because it can be changed into a prime (481171) 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 11 ways as a sum of consecutive naturals, for example, 2871 + ... + 3033.

2⁴⁸¹¹⁷⁶ 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 481176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671580).

481176 is an abundant number, since it is smaller than the sum of its proper divisors (861984).

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

481176 is a wasteful number, since it uses less digits than its factorization.

481176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 209 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 481176 is about 693.6685087273. The cubic root of 481176 is about 78.3612435125.

The spelling of 481176 in words is "four hundred eighty-one thousand, one hundred seventy-six".