481035168 has 72 divisors (see below), whose sum is σ = 1376470368. Its totient is φ = 159345792.

The previous prime is 481035167. The next prime is 481035197. The reversal of 481035168 is 861530184.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×481035168³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (481035161) 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, 41821 + ... + 52067.

It is an arithmetic number, because the mean of its divisors is an integer number (19117644).

Almost surely, 2^481035168 is an apocalyptic number.

481035168 is a gapful number since it is divisible by the number (48) 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 481035168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688235184).

481035168 is an abundant number, since it is smaller than the sum of its proper divisors (895435200).

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

481035168 is a wasteful number, since it uses less digits than its factorization.

481035168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10426 (or 10415 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 481035168 is about 21932.5139461941. The cubic root of 481035168 is about 783.5359776715.

The spelling of 481035168 in words is "four hundred eighty-one million, thirty-five thousand, one hundred sixty-eight".