445448610 has 192 divisors, whose sum is σ = 1265172480. Its totient is φ = 108501120.

The previous prime is 445448609. The next prime is 445448611. The reversal of 445448610 is 16844544.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (445448609) and next prime (445448611).

It is not an unprimeable number, because it can be changed into a prime (445448611) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 5638551 + ... + 5638629.

It is an arithmetic number, because the mean of its divisors is an integer number (6589440).

Almost surely, 2^445448610 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 445448610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632586240).

445448610 is an abundant number, since it is smaller than the sum of its proper divisors (819723870).

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

445448610 is a wasteful number, since it uses less digits than its factorization.

445448610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 445448610 is about 21105.6535080059. The cubic root of 445448610 is about 763.7171373665.

The spelling of 445448610 in words is "four hundred forty-five million, four hundred forty-eight thousand, six hundred ten".