445685760 has 448 divisors, whose sum is σ = 1761500160. Its totient is φ = 106168320.

The previous prime is 445685749. The next prime is 445685761. The reversal of 445685760 is 67586544.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (445685761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14376945 + ... + 14376975.

It is an arithmetic number, because the mean of its divisors is an integer number (3931920).

Almost surely, 2^445685760 is an apocalyptic number.

445685760 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 445685760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (880750080).

445685760 is an abundant number, since it is smaller than the sum of its proper divisors (1315814400).

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

445685760 is a wasteful number, since it uses less digits than its factorization.

445685760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The square root of 445685760 is about 21111.2709233717. The cubic root of 445685760 is about 763.8526437478.

The spelling of 445685760 in words is "four hundred forty-five million, six hundred eighty-five thousand, seven hundred sixty".