445205448 has 96 divisors (see below), whose sum is σ = 1263600000. Its totient is φ = 141418368.

The previous prime is 445205447. The next prime is 445205471. The reversal of 445205448 is 844502544.

445205448 is a `hidden beast` number, since 4 + 4 + 5 + 205 + 448 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (445205447) by changing a digit.

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, 163603 + ... + 166301.

It is an arithmetic number, because the mean of its divisors is an integer number (13162500).

Almost surely, 2^445205448 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 445205448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631800000).

445205448 is an abundant number, since it is smaller than the sum of its proper divisors (818394552).

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

445205448 is a wasteful number, since it uses less digits than its factorization.

445205448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2819 (or 2812 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 36.

The square root of 445205448 is about 21099.8921324257. The cubic root of 445205448 is about 763.5781458091.

The spelling of 445205448 in words is "four hundred forty-five million, two hundred five thousand, four hundred forty-eight".