408679966080 has 288 divisors, whose sum is σ = 1465441417440. Its totient is φ = 108980204544.

The previous prime is 408679966073. The next prime is 408679966109. The reversal of 408679966080 is 80669976804.

408679966080 is a `hidden beast` number, since 408 + 6 + 7 + 9 + 96 + 60 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 408679965999 and 408679966017.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4150377 + ... + 4247703.

It is an arithmetic number, because the mean of its divisors is an integer number (5088338255).

Almost surely, 2^408679966080 is an apocalyptic number.

408679966080 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 408679966080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732720708720).

408679966080 is an abundant number, since it is smaller than the sum of its proper divisors (1056761451360).

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

408679966080 is an frugal number, since it uses more digits than its factorization.

408679966080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97370 (or 97337 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 408679966080 in words is "four hundred eight billion, six hundred seventy-nine million, nine hundred sixty-six thousand, eighty".