481998274560 has 1728 divisors, whose sum is σ = 2119960926720. Its totient is φ = 99656663040.

The previous prime is 481998274531. The next prime is 481998274561. The reversal of 481998274560 is 65472899184.

481998274560 is a `hidden beast` number, since 48 + 1 + 9 + 9 + 8 + 27 + 4 + 560 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481998274561) 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 95 ways as a sum of consecutive naturals, for example, 20956446709 + ... + 20956446731.

It is an arithmetic number, because the mean of its divisors is an integer number (1226829240).

Almost surely, 2^481998274560 is an apocalyptic number.

481998274560 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 481998274560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1059980463360).

481998274560 is an abundant number, since it is smaller than the sum of its proper divisors (1637962652160).

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

481998274560 is a wasteful number, since it uses less digits than its factorization.

481998274560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 481998274560 in words is "four hundred eighty-one billion, nine hundred ninety-eight million, two hundred seventy-four thousand, five hundred sixty".