445906390272 has 144 divisors (see below), whose sum is σ = 1356939978240. Its totient is φ = 127341582336.

The previous prime is 445906390231. The next prime is 445906390289. The reversal of 445906390272 is 272093609544.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 12039879 + ... + 12076857.

Almost surely, 2^445906390272 is an apocalyptic number.

445906390272 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 445906390272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678469989120).

445906390272 is an abundant number, since it is smaller than the sum of its proper divisors (911033587968).

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

445906390272 is a wasteful number, since it uses less digits than its factorization.

445906390272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39248 (or 39234 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 51.

The spelling of 445906390272 in words is "four hundred forty-five billion, nine hundred six million, three hundred ninety thousand, two hundred seventy-two".