445851648 has 192 divisors, whose sum is σ = 1442750400. Its totient is φ = 134922240.

The previous prime is 445851647. The next prime is 445851677. The reversal of 445851648 is 846158544.

It is a happy number.

445851648 is a `hidden beast` number, since 4 + 4 + 585 + 1 + 64 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (445851643) 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, 607890 + ... + 608622.

It is an arithmetic number, because the mean of its divisors is an integer number (7514325).

Almost surely, 2^445851648 is an apocalyptic number.

445851648 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 445851648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721375200).

445851648 is an abundant number, since it is smaller than the sum of its proper divisors (996898752).

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

445851648 is a wasteful number, since it uses less digits than its factorization.

445851648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775 (or 749 counting only the distinct ones).

The product of its digits is 614400, while the sum is 45.

The square root of 445851648 is about 21115.1994544215. The cubic root of 445851648 is about 763.9474027915.

The spelling of 445851648 in words is "four hundred forty-five million, eight hundred fifty-one thousand, six hundred forty-eight".