442365 has 32 divisors (see below), whose sum is σ = 884736. Its totient is φ = 183360.

The previous prime is 442363. The next prime is 442367. The reversal of 442365 is 563244.

442365 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (442363) and next prime (442367).

442365 is an admirable number.

It is not a de Polignac number, because 442365 - 2¹ = 442363 is a prime.

442365 is strictly pandigital in base 7.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 442365.

It is not an unprimeable number, because it can be changed into a prime (442363) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 964 + ... + 1346.

It is an arithmetic number, because the mean of its divisors is an integer number (27648).

442365 is a Friedman number, since it can be written as 54*4^6*2-3, using all its digits and the basic arithmetic operations.

2⁴⁴²³⁶⁵ is an apocalyptic number.

It is an amenable number.

442365 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

442365 is a wasteful number, since it uses less digits than its factorization.

442365 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409.

The product of its digits is 2880, while the sum is 24.

The square root of 442365 is about 665.1052548281. The cubic root of 442365 is about 76.1950782500.

The spelling of 442365 in words is "four hundred forty-two thousand, three hundred sixty-five".