481041176 has 64 divisors (see below), whose sum is σ = 1130146560. Its totient is φ = 186480000.

The previous prime is 481041161. The next prime is 481041179. The reversal of 481041176 is 671140184.

It is a super-3 number, since 3×481041176³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481041179) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128126 + ... + 131826.

It is an arithmetic number, because the mean of its divisors is an integer number (17658540).

Almost surely, 2^481041176 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 481041176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565073280).

481041176 is an abundant number, since it is smaller than the sum of its proper divisors (649105384).

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

481041176 is a wasteful number, since it uses less digits than its factorization.

481041176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3936 (or 3932 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 32.

The square root of 481041176 is about 21932.6509113696. The cubic root of 481041176 is about 783.5392397092.

The spelling of 481041176 in words is "four hundred eighty-one million, forty-one thousand, one hundred seventy-six".