442964 has 24 divisors (see below), whose sum is σ = 826728. Its totient is φ = 207360.

The previous prime is 442963. The next prime is 442973. The reversal of 442964 is 469244.

It can be written as a sum of positive squares in 4 ways, for example, as 58564 + 384400 = 242^2 + 620^2 .

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6032 + ... + 6104.

It is an arithmetic number, because the mean of its divisors is an integer number (34447).

2⁴⁴²⁹⁶⁴ is an apocalyptic number.

It is an amenable number.

442964 is a deficient number, since it is larger than the sum of its proper divisors (383764).

442964 is a wasteful number, since it uses less digits than its factorization.

442964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 153 counting only the distinct ones).

The product of its digits is 6912, while the sum is 29.

The square root of 442964 is about 665.5554071601. Note that the first 3 decimals coincide. The cubic root of 442964 is about 76.2294542870.

The spelling of 442964 in words is "four hundred forty-two thousand, nine hundred sixty-four".