481384176 has 160 divisors (see below), whose sum is σ = 1541234688. Its totient is φ = 126074880.

The previous prime is 481384159. The next prime is 481384187. The reversal of 481384176 is 671483184.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 834000 + ... + 834576.

Almost surely, 2^481384176 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 481384176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (770617344).

481384176 is an abundant number, since it is smaller than the sum of its proper divisors (1059850512).

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

481384176 is a wasteful number, since it uses less digits than its factorization.

481384176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799 (or 793 counting only the distinct ones).

The product of its digits is 129024, while the sum is 42.

The square root of 481384176 is about 21940.4689102125. The cubic root of 481384176 is about 783.7254262013.

The spelling of 481384176 in words is "four hundred eighty-one million, three hundred eighty-four thousand, one hundred seventy-six".