445145600 has 120 divisors (see below), whose sum is σ = 1118834640. Its totient is φ = 175493120.

The previous prime is 445145593. The next prime is 445145633. The reversal of 445145600 is 6541544.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1062191 + ... + 1062609.

It is an arithmetic number, because the mean of its divisors is an integer number (9323622).

Almost surely, 2^445145600 is an apocalyptic number.

445145600 is a gapful number since it is divisible by the number (40) 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 445145600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559417320).

445145600 is an abundant number, since it is smaller than the sum of its proper divisors (673689040).

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

445145600 is an equidigital number, since it uses as much as digits as its factorization.

445145600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

The square root of 445145600 is about 21098.4738784586. The cubic root of 445145600 is about 763.5439288927.

The spelling of 445145600 in words is "four hundred forty-five million, one hundred forty-five thousand, six hundred".