405450305568 has 432 divisors, whose sum is σ = 1517382738144. Its totient is φ = 105310679040.

The previous prime is 405450305509. The next prime is 405450305587. The reversal of 405450305568 is 865503054504.

405450305568 is a `hidden beast` number, since 4 + 0 + 5 + 4 + 50 + 30 + 5 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 4142896 + ... + 4239632.

It is an arithmetic number, because the mean of its divisors is an integer number (3512460042).

Almost surely, 2^405450305568 is an apocalyptic number.

405450305568 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 405450305568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758691369072).

405450305568 is an abundant number, since it is smaller than the sum of its proper divisors (1111932432576).

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

405450305568 is a wasteful number, since it uses less digits than its factorization.

405450305568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96787 (or 96760 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 45.

The spelling of 405450305568 in words is "four hundred five billion, four hundred fifty million, three hundred five thousand, five hundred sixty-eight".