445056768 has 270 divisors, whose sum is σ = 1448329344. Its totient is φ = 135862272.

The previous prime is 445056767. The next prime is 445056769. The reversal of 445056768 is 867650544.

It is an interprime number because it is at equal distance from previous prime (445056767) and next prime (445056769).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (445056761) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 3504321 + ... + 3504447.

Almost surely, 2^445056768 is an apocalyptic number.

445056768 is a gapful number since it is divisible by the number (48) 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 445056768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724164672).

445056768 is an abundant number, since it is smaller than the sum of its proper divisors (1003272576).

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

445056768 is a wasteful number, since it uses less digits than its factorization.

445056768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 145 counting only the distinct ones).

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

The square root of 445056768 is about 21096.3685974625. The cubic root of 445056768 is about 763.4931352898.

The spelling of 445056768 in words is "four hundred forty-five million, fifty-six thousand, seven hundred sixty-eight".