408616326960 has 80 divisors (see below), whose sum is σ = 1268544284160. Its totient is φ = 108806618880.

The previous prime is 408616326931. The next prime is 408616326977. The reversal of 408616326960 is 69623616804.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1066120 + ... + 1397799.

It is an arithmetic number, because the mean of its divisors is an integer number (15856803552).

Almost surely, 2^408616326960 is an apocalyptic number.

408616326960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

408616326960 is an abundant number, since it is smaller than the sum of its proper divisors (859927957200).

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

408616326960 is a wasteful number, since it uses less digits than its factorization.

408616326960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2464626 (or 2464620 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 51.

The spelling of 408616326960 in words is "four hundred eight billion, six hundred sixteen million, three hundred twenty-six thousand, nine hundred sixty".