445600 has 36 divisors (see below), whose sum is σ = 1089774. Its totient is φ = 177920.

The previous prime is 445597. The next prime is 445619. The reversal of 445600 is 6544.

It can be written as a sum of positive squares in 3 ways, for example, as 226576 + 219024 = 476^2 + 468^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 522 + ... + 1078.

2⁴⁴⁵⁶⁰⁰ is an apocalyptic number.

445600 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 445600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544887).

445600 is an abundant number, since it is smaller than the sum of its proper divisors (644174).

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

445600 is a wasteful number, since it uses less digits than its factorization.

445600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 445600 is about 667.5327707311. The cubic root of 445600 is about 76.3803646442.

The spelling of 445600 in words is "four hundred forty-five thousand, six hundred".