408279993000 has 128 divisors (see below), whose sum is σ = 1389636743040. Its totient is φ = 98976960000.

The previous prime is 408279992987. The next prime is 408279993007. The reversal of 408279993000 is 399972804.

It is not an unprimeable number, because it can be changed into a prime (408279993007) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 6153061 + ... + 6219060.

It is an arithmetic number, because the mean of its divisors is an integer number (10856537055).

Almost surely, 2^408279993000 is an apocalyptic number.

408279993000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

408279993000 is an abundant number, since it is smaller than the sum of its proper divisors (981356750040).

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

408279993000 is a wasteful number, since it uses less digits than its factorization.

408279993000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12372156 (or 12372142 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 51.

The spelling of 408279993000 in words is "four hundred eight billion, two hundred seventy-nine million, nine hundred ninety-three thousand".