408048972480 has 168 divisors, whose sum is σ = 1448793550464. Its totient is φ = 105302937600.

The previous prime is 408048972473. The next prime is 408048972497. The reversal of 408048972480 is 84279840804.

408048972480 is a `hidden beast` number, since 4 + 0 + 80 + 4 + 89 + 7 + 2 + 480 = 666.

408048972480 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 2195941 + ... + 2374500.

Almost surely, 2^408048972480 is an apocalyptic number.

408048972480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

408048972480 is an abundant number, since it is smaller than the sum of its proper divisors (1040744577984).

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

408048972480 is a wasteful number, since it uses less digits than its factorization.

408048972480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4570495 (or 4570482 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 408048972480 in words is "four hundred eight billion, forty-eight million, nine hundred seventy-two thousand, four hundred eighty".