442876416 has 160 divisors (see below), whose sum is σ = 1244491776. Its totient is φ = 139776000.

The previous prime is 442876363. The next prime is 442876417. The reversal of 442876416 is 614678244.

It is a super-2 number, since 2×442876416² = 392279039698010112, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (442876417) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3380671 + ... + 3380801.

Almost surely, 2^442876416 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 442876416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622245888).

442876416 is an abundant number, since it is smaller than the sum of its proper divisors (801615360).

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

442876416 is a wasteful number, since it uses less digits than its factorization.

442876416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 238 counting only the distinct ones).

The product of its digits is 258048, while the sum is 42.

The square root of 442876416 is about 21044.6291485500. The cubic root of 442876416 is about 762.2442986022.

The spelling of 442876416 in words is "four hundred forty-two million, eight hundred seventy-six thousand, four hundred sixteen".