414441 has 6 divisors (see below), whose sum is σ = 598650. Its totient is φ = 276288.

The previous prime is 414433. The next prime is 414451. The reversal of 414441 is 144414.

It can be written as a sum of positive squares in only one way, i.e., 230400 + 184041 = 480^2 + 429^2 .

It is not a de Polignac number, because 414441 - 2³ = 414433 is a prime.

It is a super-2 number, since 2×414441² = 343522684962, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (414431) 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, 23016 + ... + 23033.

It is an arithmetic number, because the mean of its divisors is an integer number (99775).

2⁴¹⁴⁴⁴¹ is an apocalyptic number.

It is an amenable number.

414441 is a deficient number, since it is larger than the sum of its proper divisors (184209).

414441 is a wasteful number, since it uses less digits than its factorization.

414441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46055 (or 46052 counting only the distinct ones).

The product of its digits is 256, while the sum is 18.

The square root of 414441 is about 643.7709219901. The cubic root of 414441 is about 74.5568534387.

Adding to 414441 its reverse (144414), we get a palindrome (558855).

The spelling of 414441 in words is "four hundred fourteen thousand, four hundred forty-one", and thus it is an iban number.