481991328 has 288 divisors, whose sum is σ = 1723752576. Its totient is φ = 124360704.

The previous prime is 481991311. The next prime is 481991347. The reversal of 481991328 is 823199184.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1388851 + ... + 1389197.

It is an arithmetic number, because the mean of its divisors is an integer number (5985252).

Almost surely, 2^481991328 is an apocalyptic number.

481991328 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 481991328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (861876288).

481991328 is an abundant number, since it is smaller than the sum of its proper divisors (1241761248).

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

481991328 is a wasteful number, since it uses less digits than its factorization.

481991328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 425 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The square root of 481991328 is about 21954.3008998237. The cubic root of 481991328 is about 784.0547823722.

The spelling of 481991328 in words is "four hundred eighty-one million, nine hundred ninety-one thousand, three hundred twenty-eight".