445770560 has 112 divisors (see below), whose sum is σ = 1098157824. Its totient is φ = 172259328.

The previous prime is 445770557. The next prime is 445770641. The reversal of 445770560 is 65077544.

It is a super-2 number, since 2×445770560² = 397422784325427200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1609142 + ... + 1609418.

Almost surely, 2^445770560 is an apocalyptic number.

445770560 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 445770560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549078912).

445770560 is an abundant number, since it is smaller than the sum of its proper divisors (652387264).

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

445770560 is a wasteful number, since it uses less digits than its factorization.

445770560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 117600, while the sum is 38.

The square root of 445770560 is about 21113.2792336956. The cubic root of 445770560 is about 763.9010863967.

The spelling of 445770560 in words is "four hundred forty-five million, seven hundred seventy thousand, five hundred sixty".