445868064 has 192 divisors, whose sum is σ = 1378702080. Its totient is φ = 141647616.

The previous prime is 445868051. The next prime is 445868089. The reversal of 445868064 is 460868544.

445868064 is a `hidden beast` number, since 4 + 4 + 586 + 8 + 0 + 64 = 666.

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 31 ways as a sum of consecutive naturals, for example, 1609494 + ... + 1609770.

It is an arithmetic number, because the mean of its divisors is an integer number (7180740).

Almost surely, 2^445868064 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 445868064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689351040).

445868064 is an abundant number, since it is smaller than the sum of its proper divisors (932834016).

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

445868064 is an equidigital number, since it uses as much as digits as its factorization.

445868064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The square root of 445868064 is about 21115.5881755636. The cubic root of 445868064 is about 763.9567787104.

It can be divided in two parts, 44586 and 8064, that added together give a triangular number (52650 = T₃₂₄).

The spelling of 445868064 in words is "four hundred forty-five million, eight hundred sixty-eight thousand, sixty-four".