445501008 has 60 divisors (see below), whose sum is σ = 1248202228. Its totient is φ = 148331520.

The previous prime is 445501003. The next prime is 445501009. The reversal of 445501008 is 800105544.

445501008 is a `hidden beast` number, since 4 + 4 + 550 + 100 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 71774784 + 373726224 = 8472^2 + 19332^2 .

It is a super-2 number, since 2×445501008² = 396942296258032128, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (445501003) 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, 249816 + ... + 251592.

Almost surely, 2^445501008 is an apocalyptic number.

445501008 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

445501008 is an abundant number, since it is smaller than the sum of its proper divisors (802701220).

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

445501008 is a wasteful number, since it uses less digits than its factorization.

445501008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3532 (or 3523 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 445501008 is about 21106.8947976722. The cubic root of 445501008 is about 763.7470814728.

The spelling of 445501008 in words is "four hundred forty-five million, five hundred one thousand, eight".