414444 has 12 divisors (see below), whose sum is σ = 967064. Its totient is φ = 138144.

The previous prime is 414433. The next prime is 414451. The reversal of 414444 is 444414.

It is a tau number, because it is divible by the number of its divisors (12).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 414444.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17257 + ... + 17280.

2⁴¹⁴⁴⁴⁴ is an apocalyptic number.

It is an amenable number.

414444 is an abundant number, since it is smaller than the sum of its proper divisors (552620).

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

414444 is a wasteful number, since it uses less digits than its factorization.

414444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34544 (or 34542 counting only the distinct ones).

The product of its digits is 1024, while the sum is 21.

The square root of 414444 is about 643.7732520073. The cubic root of 414444 is about 74.5570333356.

Adding to 414444 its reverse (444414), we get a palindrome (858858).

It can be divided in two parts, 414 and 444, that added together give a palindrome (858).

The spelling of 414444 in words is "four hundred fourteen thousand, four hundred forty-four", and thus it is an iban number.