442944 has 42 divisors (see below), whose sum is σ = 1271270. Its totient is φ = 147456.

The previous prime is 442919. The next prime is 442961. The reversal of 442944 is 449244.

It can be written as a sum of positive squares in only one way, i.e., 360000 + 82944 = 600^2 + 288^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 442944.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 192 + ... + 960.

2⁴⁴²⁹⁴⁴ 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 442944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635635).

442944 is an abundant number, since it is smaller than the sum of its proper divisors (828326).

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

442944 is a wasteful number, since it uses less digits than its factorization.

442944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 787 (or 774 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 442944 is about 665.5403819454. The cubic root of 442944 is about 76.2283070064.

The spelling of 442944 in words is "four hundred forty-two thousand, nine hundred forty-four".