442593 has 6 divisors (see below), whose sum is σ = 639314. Its totient is φ = 295056.

The previous prime is 442579. The next prime is 442601. The reversal of 442593 is 395244.

It can be written as a sum of positive squares in only one way, i.e., 321489 + 121104 = 567^2 + 348^2 .

It is not a de Polignac number, because 442593 - 2⁴ = 442577 is a prime.

It is a d-powerful number, because it can be written as 4³ + 4⁹ + 5⁵ + 2⁵ + 9² + 3¹¹ .

It is a Duffinian number.

It is a Curzon number.

It is a nialpdrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (442573) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 24580 + ... + 24597.

2⁴⁴²⁵⁹³ is an apocalyptic number.

It is an amenable number.

442593 is a deficient number, since it is larger than the sum of its proper divisors (196721).

442593 is a wasteful number, since it uses less digits than its factorization.

442593 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49183 (or 49180 counting only the distinct ones).

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

The square root of 442593 is about 665.2766341906. The cubic root of 442593 is about 76.2081666077.

It can be divided in two parts, 442 and 593, that added together give a triangular number (1035 = T₄₅).

The spelling of 442593 in words is "four hundred forty-two thousand, five hundred ninety-three".