405819488256 has 768 divisors, whose sum is σ = 1380381649920. Its totient is φ = 103195607040.

The previous prime is 405819488209. The next prime is 405819488273. The reversal of 405819488256 is 652884918504.

It is a tau number, because it is divible by the number of its divisors (768).

It is a self number, because there is not a number n which added to its sum of digits gives 405819488256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2489690031 + ... + 2489690193.

It is an arithmetic number, because the mean of its divisors is an integer number (1797371940).

Almost surely, 2^405819488256 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 405819488256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690190824960).

405819488256 is an abundant number, since it is smaller than the sum of its proper divisors (974562161664).

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

405819488256 is a wasteful number, since it uses less digits than its factorization.

405819488256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 22118400, while the sum is 60.

The spelling of 405819488256 in words is "four hundred five billion, eight hundred nineteen million, four hundred eighty-eight thousand, two hundred fifty-six".