442108416 has 80 divisors (see below), whose sum is σ = 1239876000. Its totient is φ = 139603968.

The previous prime is 442108399. The next prime is 442108441. The reversal of 442108416 is 614801244.

It is a super-3 number, since 3×442108416³ (a number of 27 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21610 + ... + 36758.

It is an arithmetic number, because the mean of its divisors is an integer number (15498450).

Almost surely, 2^442108416 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 442108416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619938000).

442108416 is an abundant number, since it is smaller than the sum of its proper divisors (797767584).

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

442108416 is a wasteful number, since it uses less digits than its factorization.

442108416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15189 (or 15173 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 442108416 is about 21026.3742951561. The cubic root of 442108416 is about 761.8034364619.

The spelling of 442108416 in words is "four hundred forty-two million, one hundred eight thousand, four hundred sixteen".