442404 has 18 divisors (see below), whose sum is σ = 1118390. Its totient is φ = 147456.

The previous prime is 442399. The next prime is 442439. The reversal of 442404 is 404244.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 419904 + 22500 = 648^2 + 150^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

442404 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6109 + ... + 6180.

2⁴⁴²⁴⁰⁴ is an apocalyptic number.

It is an amenable number.

442404 is an abundant number, since it is smaller than the sum of its proper divisors (675986).

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

442404 is a wasteful number, since it uses less digits than its factorization.

442404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12299 (or 12294 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 442404 is about 665.1345728497. The cubic root of 442404 is about 76.1973173669.

Adding to 442404 its reverse (404244), we get a palindrome (846648).

It can be divided in two parts, 44240 and 4, that added together give a palindrome (44244).

The spelling of 442404 in words is "four hundred forty-two thousand, four hundred four", and thus it is an iban number.