445456506 has 64 divisors (see below), whose sum is σ = 999806976. Its totient is φ = 131155200.

The previous prime is 445456499. The next prime is 445456507. The reversal of 445456506 is 605654544.

It is not an unprimeable number, because it can be changed into a prime (445456507) 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 31 ways as a sum of consecutive naturals, for example, 505186 + ... + 506066.

It is an arithmetic number, because the mean of its divisors is an integer number (15621984).

Almost surely, 2^445456506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 445456506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499903488).

445456506 is an abundant number, since it is smaller than the sum of its proper divisors (554350470).

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

445456506 is a wasteful number, since it uses less digits than its factorization.

445456506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1107.

The product of its (nonzero) digits is 288000, while the sum is 39.

The square root of 445456506 is about 21105.8405660613. The cubic root of 445456506 is about 763.7216498772.

The spelling of 445456506 in words is "four hundred forty-five million, four hundred fifty-six thousand, five hundred six".