445305672 has 96 divisors (see below), whose sum is σ = 1425902400. Its totient is φ = 122838912.

The previous prime is 445305647. The next prime is 445305697. The reversal of 445305672 is 276503544.

445305672 is a `hidden beast` number, since 4 + 4 + 530 + 56 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (445305647) and next prime (445305697).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 618 + ... + 29849.

It is an arithmetic number, because the mean of its divisors is an integer number (14853150).

Almost surely, 2^445305672 is an apocalyptic number.

445305672 is a gapful number since it is divisible by the number (42) 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 445305672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712951200).

445305672 is an abundant number, since it is smaller than the sum of its proper divisors (980596728).

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

445305672 is a wasteful number, since it uses less digits than its factorization.

445305672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30515 (or 30508 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 445305672 is about 21102.2669872220. The cubic root of 445305672 is about 763.6354400422.

The spelling of 445305672 in words is "four hundred forty-five million, three hundred five thousand, six hundred seventy-two".