442450008 has 288 divisors, whose sum is σ = 1639506960. Its totient is φ = 105960960.

The previous prime is 442450003. The next prime is 442450037. The reversal of 442450008 is 800054244.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442450003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 504066 + ... + 504942.

Almost surely, 2^442450008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442450008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819753480).

442450008 is an abundant number, since it is smaller than the sum of its proper divisors (1197056952).

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

442450008 is a wasteful number, since it uses less digits than its factorization.

442450008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 927 (or 913 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 442450008 is about 21034.4956678310. The cubic root of 442450008 is about 761.9995866656. Note that the first 3 decimals are identical.

The spelling of 442450008 in words is "four hundred forty-two million, four hundred fifty thousand, eight".