445885760 has 56 divisors (see below), whose sum is σ = 1064437800. Its totient is φ = 177905664.

The previous prime is 445885753. The next prime is 445885789. The reversal of 445885760 is 67588544.

It can be written as a sum of positive squares in 4 ways, for example, as 39137536 + 406748224 = 6256^2 + 20168^2 .

It is a super-2 number, since 2×445885760² = 397628221941555200, 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 7 ways as a sum of consecutive naturals, for example, 144716 + ... + 147764.

Almost surely, 2^445885760 is an apocalyptic number.

445885760 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 445885760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532218900).

445885760 is an abundant number, since it is smaller than the sum of its proper divisors (618552040).

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

445885760 is a wasteful number, since it uses less digits than its factorization.

445885760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3523 (or 3513 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 47.

The square root of 445885760 is about 21116.0071983318. The cubic root of 445885760 is about 763.9668854373.

The spelling of 445885760 in words is "four hundred forty-five million, eight hundred eighty-five thousand, seven hundred sixty".