442461008 has 80 divisors (see below), whose sum is σ = 967438080. Its totient is φ = 194304000.

The previous prime is 442460969. The next prime is 442461031. The reversal of 442461008 is 800164244.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 735908 + ... + 736508.

It is an arithmetic number, because the mean of its divisors is an integer number (12092976).

Almost surely, 2^442461008 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 442461008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483719040).

442461008 is an abundant number, since it is smaller than the sum of its proper divisors (524977072).

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

442461008 is a wasteful number, since it uses less digits than its factorization.

442461008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 756 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

The square root of 442461008 is about 21034.7571414552. The cubic root of 442461008 is about 762.0059014476.

It can be divided in two parts, 44246 and 1008, that added together give a palindrome (45254).

The spelling of 442461008 in words is "four hundred forty-two million, four hundred sixty-one thousand, eight".