445743648 has 288 divisors, whose sum is σ = 1585059840. Its totient is φ = 120372480.

The previous prime is 445743647. The next prime is 445743707. The reversal of 445743648 is 846347544.

445743648 is a `hidden beast` number, since 4 + 4 + 574 + 36 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (445743647) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1033993 + ... + 1034423.

It is an arithmetic number, because the mean of its divisors is an integer number (5503680).

Almost surely, 2^445743648 is an apocalyptic number.

445743648 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 445743648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792529920).

445743648 is an abundant number, since it is smaller than the sum of its proper divisors (1139316192).

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

445743648 is a wasteful number, since it uses less digits than its factorization.

445743648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 462 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 45.

The square root of 445743648 is about 21112.6419000560. The cubic root of 445743648 is about 763.8857133763.

The spelling of 445743648 in words is "four hundred forty-five million, seven hundred forty-three thousand, six hundred forty-eight".