445231008 has 72 divisors (see below), whose sum is σ = 1269777600. Its totient is φ = 147982464.

The previous prime is 445231001. The next prime is 445231019. The reversal of 445231008 is 800132544.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (445231001) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 107113 + ... + 111191.

It is an arithmetic number, because the mean of its divisors is an integer number (17635800).

Almost surely, 2^445231008 is an apocalyptic number.

445231008 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 445231008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634888800).

445231008 is an abundant number, since it is smaller than the sum of its proper divisors (824546592).

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

445231008 is a wasteful number, since it uses less digits than its factorization.

445231008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4474 (or 4463 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 445231008 is about 21100.4978140327. The cubic root of 445231008 is about 763.5927583017.

The spelling of 445231008 in words is "four hundred forty-five million, two hundred thirty-one thousand, eight".