482072880240 has 200 divisors, whose sum is σ = 1913497930080. Its totient is φ = 110188076544.

The previous prime is 482072880239. The next prime is 482072880251. The reversal of 482072880240 is 42088270284.

482072880240 is a `hidden beast` number, since 482 + 0 + 72 + 8 + 80 + 24 + 0 = 666.

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

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5268495 + ... + 5359214.

Almost surely, 2^482072880240 is an apocalyptic number.

482072880240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

482072880240 is an abundant number, since it is smaller than the sum of its proper divisors (1431425049840).

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

482072880240 is a wasteful number, since it uses less digits than its factorization.

482072880240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10627741 (or 10627726 counting only the distinct ones).

The product of its (nonzero) digits is 458752, while the sum is 45.

The spelling of 482072880240 in words is "four hundred eighty-two billion, seventy-two million, eight hundred eighty thousand, two hundred forty".