445883768 has 64 divisors (see below), whose sum is σ = 935107200. Its totient is φ = 197608320.

The previous prime is 445883761. The next prime is 445883777. The reversal of 445883768 is 867388544.

It is a super-3 number, since 3×445883768³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (445883761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 814871 + ... + 815417.

It is an arithmetic number, because the mean of its divisors is an integer number (14611050).

Almost surely, 2^445883768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 445883768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467553600).

445883768 is an abundant number, since it is smaller than the sum of its proper divisors (489223432).

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

445883768 is a wasteful number, since it uses less digits than its factorization.

445883768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780 (or 776 counting only the distinct ones).

The product of its digits is 5160960, while the sum is 53.

The square root of 445883768 is about 21115.9600302709. The cubic root of 445883768 is about 763.9657477586.

The spelling of 445883768 in words is "four hundred forty-five million, eight hundred eighty-three thousand, seven hundred sixty-eight".