481338180 has 96 divisors (see below), whose sum is σ = 1538033280. Its totient is φ = 124882560.

The previous prime is 481338167. The next prime is 481338203. The reversal of 481338180 is 81833184.

481338180 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

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, 7935 + ... + 32025.

It is an arithmetic number, because the mean of its divisors is an integer number (16021180).

Almost surely, 2^481338180 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 481338180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769016640).

481338180 is an abundant number, since it is smaller than the sum of its proper divisors (1056695100).

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

481338180 is a wasteful number, since it uses less digits than its factorization.

481338180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24146 (or 24138 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 481338180 is about 21939.4206851503. The cubic root of 481338180 is about 783.7004638915.

The spelling of 481338180 in words is "four hundred eighty-one million, three hundred thirty-eight thousand, one hundred eighty".