442305 has 12 divisors (see below), whose sum is σ = 766740. Its totient is φ = 235872.

The previous prime is 442291. The next prime is 442319. The reversal of 442305 is 503244.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (442291) and next prime (442319).

It can be written as a sum of positive squares in 2 ways, for example, as 294849 + 147456 = 543^2 + 384^2 .

It is not a de Polignac number, because 442305 - 2⁷ = 442177 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4870 + ... + 4959.

It is an arithmetic number, because the mean of its divisors is an integer number (63895).

2⁴⁴²³⁰⁵ is an apocalyptic number.

442305 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

442305 is a deficient number, since it is larger than the sum of its proper divisors (324435).

442305 is a wasteful number, since it uses less digits than its factorization.

442305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9840 (or 9837 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 442305 is about 665.0601476558. The cubic root of 442305 is about 76.1916331980.

Adding to 442305 its reverse (503244), we get a palindrome (945549).

It can be divided in two parts, 442 and 305, that added together give a palindrome (747).

The spelling of 442305 in words is "four hundred forty-two thousand, three hundred five".