445252005 has 128 divisors (see below), whose sum is σ = 905748480. Its totient is φ = 205632000.

The previous prime is 445251997. The next prime is 445252013. The reversal of 445252005 is 500252544.

445252005 is a `hidden beast` number, since 4 + 452 + 5 + 200 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (445251997) and next prime (445252013).

It is not a de Polignac number, because 445252005 - 2³ = 445251997 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 445252005.

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 4322784 + ... + 4322886.

It is an arithmetic number, because the mean of its divisors is an integer number (7076160).

Almost surely, 2^445252005 is an apocalyptic number.

445252005 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

445252005 is an abundant number, since it is smaller than the sum of its proper divisors (460496475).

445252005 is a wasteful number, since it uses less digits than its factorization.

445252005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 27.

The square root of 445252005 is about 21100.9953556698. The cubic root of 445252005 is about 763.6047617372.

The spelling of 445252005 in words is "four hundred forty-five million, two hundred fifty-two thousand, five".