442967616 has 336 divisors, whose sum is σ = 1625746304. Its totient is φ = 116453376.

The previous prime is 442967593. The next prime is 442967627. The reversal of 442967616 is 616769244.

442967616 is a `hidden beast` number, since 4 + 4 + 29 + 6 + 7 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1415076 + ... + 1415388.

Almost surely, 2^442967616 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 442967616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812873152).

442967616 is an abundant number, since it is smaller than the sum of its proper divisors (1182778688).

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

442967616 is a wasteful number, since it uses less digits than its factorization.

442967616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 338 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 442967616 is about 21046.7958606530. The cubic root of 442967616 is about 762.2966171169.

The spelling of 442967616 in words is "four hundred forty-two million, nine hundred sixty-seven thousand, six hundred sixteen".