481786323480 has 768 divisors, whose sum is σ = 2098748620800. Its totient is φ = 92819727360.

The previous prime is 481786323467. The next prime is 481786323493. The reversal of 481786323480 is 84323687184.

481786323480 is a `hidden beast` number, since 4 + 81 + 7 + 8 + 63 + 23 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (481786323467) and next prime (481786323493).

It is a super-2 number, since 2×481786323480² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 24744229 + ... + 24763691.

It is an arithmetic number, because the mean of its divisors is an integer number (2732745600).

Almost surely, 2^481786323480 is an apocalyptic number.

481786323480 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 481786323480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1049374310400).

481786323480 is an abundant number, since it is smaller than the sum of its proper divisors (1616962297320).

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

481786323480 is a wasteful number, since it uses less digits than its factorization.

481786323480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19564 (or 19557 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 481786323480 in words is "four hundred eighty-one billion, seven hundred eighty-six million, three hundred twenty-three thousand, four hundred eighty".