442953 has 24 divisors (see below), whose sum is σ = 748800. Its totient is φ = 247104.

The previous prime is 442919. The next prime is 442961. The reversal of 442953 is 359244.

It is not a de Polignac number, because 442953 - 2¹³ = 434761 is a prime.

It is a d-powerful number, because it can be written as 4² + 4⁹ + 9 + 2⁹ + 5⁵ + 3¹¹ .

It is not an unprimeable number, because it can be changed into a prime (442903) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4933 + ... + 5021.

It is an arithmetic number, because the mean of its divisors is an integer number (31200).

2⁴⁴²⁹⁵³ is an apocalyptic number.

It is an amenable number.

442953 is a deficient number, since it is larger than the sum of its proper divisors (305847).

442953 is a wasteful number, since it uses less digits than its factorization.

442953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 178 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 442953 is about 665.5471433340. The cubic root of 442953 is about 76.2288232870.

The spelling of 442953 in words is "four hundred forty-two thousand, nine hundred fifty-three".