405248808448 has 160 divisors (see below), whose sum is σ = 927287792640. Its totient is φ = 175236096000.

The previous prime is 405248808443. The next prime is 405248808457. The reversal of 405248808448 is 844808842504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405248808443) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 10281258 + ... + 10320598.

It is an arithmetic number, because the mean of its divisors is an integer number (5795548704).

Almost surely, 2^405248808448 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 405248808448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463643896320).

405248808448 is an abundant number, since it is smaller than the sum of its proper divisors (522038984192).

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

405248808448 is a wasteful number, since it uses less digits than its factorization.

405248808448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39460 (or 39444 counting only the distinct ones).

The product of its (nonzero) digits is 10485760, while the sum is 55.

The spelling of 405248808448 in words is "four hundred five billion, two hundred forty-eight million, eight hundred eight thousand, four hundred forty-eight".