445388160 has 256 divisors, whose sum is σ = 1676390400. Its totient is φ = 98426880.

The previous prime is 445388149. The next prime is 445388161. The reversal of 445388160 is 61883544.

It is a super-2 number, since 2×445388160² = 396741226136371200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (445388161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 416106 + ... + 417174.

It is an arithmetic number, because the mean of its divisors is an integer number (6548400).

Almost surely, 2^445388160 is an apocalyptic number.

445388160 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 445388160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (838195200).

445388160 is an abundant number, since it is smaller than the sum of its proper divisors (1231002240).

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

445388160 is a wasteful number, since it uses less digits than its factorization.

445388160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1129 (or 1117 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 445388160 is about 21104.2213786721. The cubic root of 445388160 is about 763.6825888324.

The spelling of 445388160 in words is "four hundred forty-five million, three hundred eighty-eight thousand, one hundred sixty".