481728239520 has 288 divisors, whose sum is σ = 1673429212224. Its totient is φ = 116397895680.

The previous prime is 481728239507. The next prime is 481728239533. The reversal of 481728239520 is 25932827184.

It is an interprime number because it is at equal distance from previous prime (481728239507) and next prime (481728239533).

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, 17817052 + ... + 17844068.

It is an arithmetic number, because the mean of its divisors is an integer number (5810518098).

Almost surely, 2^481728239520 is an apocalyptic number.

481728239520 is a gapful number since it is divisible by the number (40) 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 481728239520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836714606112).

481728239520 is an abundant number, since it is smaller than the sum of its proper divisors (1191700972704).

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

481728239520 is a wasteful number, since it uses less digits than its factorization.

481728239520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27364 (or 27345 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 51.

The spelling of 481728239520 in words is "four hundred eighty-one billion, seven hundred twenty-eight million, two hundred thirty-nine thousand, five hundred twenty".