481517480340 has 108 divisors (see below), whose sum is σ = 1581599823804. Its totient is φ = 118527372288.

The previous prime is 481517480317. The next prime is 481517480359. The reversal of 481517480340 is 43084715184.

481517480340 is a `hidden beast` number, since 4 + 81 + 51 + 7 + 480 + 3 + 40 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 210053555856 + 271463924484 = 458316^2 + 521022^2 .

It is a super-3 number, since 3×481517480340³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7884069 + ... + 7944908.

It is an arithmetic number, because the mean of its divisors is an integer number (14644442813).

Almost surely, 2^481517480340 is an apocalyptic number.

It is an amenable number.

481517480340 is an abundant number, since it is smaller than the sum of its proper divisors (1100082343464).

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

481517480340 is a wasteful number, since it uses less digits than its factorization.

481517480340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15829018 (or 15829000 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 481517480340 in words is "four hundred eighty-one billion, five hundred seventeen million, four hundred eighty thousand, three hundred forty".