405565056 has 384 divisors, whose sum is σ = 1403438400. Its totient is φ = 115458048.

The previous prime is 405565031. The next prime is 405565081. The reversal of 405565056 is 650565504.

405565056 = 140³ + 141³ + ... + 211³.

It is a happy number.

405565056 is a `hidden beast` number, since 4 + 0 + 556 + 50 + 56 = 666.

It is an interprime number because it is at equal distance from previous prime (405565031) and next prime (405565081).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 405565056.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6873955 + ... + 6874013.

Almost surely, 2^405565056 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 405565056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701719200).

405565056 is an abundant number, since it is smaller than the sum of its proper divisors (997873344).

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

405565056 is a wasteful number, since it uses less digits than its factorization.

405565056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The square root of 405565056 is about 20138.6458333226. The cubic root of 405565056 is about 740.2075483088.

The spelling of 405565056 in words is "four hundred five million, five hundred sixty-five thousand, fifty-six".