481153728 has 112 divisors (see below), whose sum is σ = 1433779200. Its totient is φ = 141081600.

The previous prime is 481153679. The next prime is 481153741. The reversal of 481153728 is 827351184.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61798 + ... + 69146.

It is an arithmetic number, because the mean of its divisors is an integer number (12801600).

Almost surely, 2^481153728 is an apocalyptic number.

481153728 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 481153728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716889600).

481153728 is an abundant number, since it is smaller than the sum of its proper divisors (952625472).

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

481153728 is a wasteful number, since it uses less digits than its factorization.

481153728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7406 (or 7396 counting only the distinct ones).

The product of its digits is 53760, while the sum is 39.

The square root of 481153728 is about 21935.2166162087. The cubic root of 481153728 is about 783.6003446872.

The spelling of 481153728 in words is "four hundred eighty-one million, one hundred fifty-three thousand, seven hundred twenty-eight".