408255993792 has 168 divisors, whose sum is σ = 1232274700800. Its totient is φ = 128871295488.

The previous prime is 408255993721. The next prime is 408255993799. The reversal of 408255993792 is 297399552804.

408255993792 is a `hidden beast` number, since 4 + 0 + 8 + 2 + 5 + 599 + 37 + 9 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408255993799) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34653759 + ... + 34665537.

Almost surely, 2^408255993792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 408255993792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616137350400).

408255993792 is an abundant number, since it is smaller than the sum of its proper divisors (824018707008).

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

408255993792 is a wasteful number, since it uses less digits than its factorization.

408255993792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14983 (or 14970 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

The spelling of 408255993792 in words is "four hundred eight billion, two hundred fifty-five million, nine hundred ninety-three thousand, seven hundred ninety-two".