414561 has 16 divisors (see below), whose sum is σ = 665600. Its totient is φ = 224208.

The previous prime is 414559. The next prime is 414571. The reversal of 414561 is 165414.

414561 is nontrivially palindromic in base 8.

It is not a de Polignac number, because 414561 - 2¹ = 414559 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an alternating number because its digits alternate between even and odd.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414521) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121 + ... + 918.

It is an arithmetic number, because the mean of its divisors is an integer number (41600).

2⁴¹⁴⁵⁶¹ is an apocalyptic number.

It is an amenable number.

414561 is a deficient number, since it is larger than the sum of its proper divisors (251039).

414561 is a wasteful number, since it uses less digits than its factorization.

414561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1068.

The product of its digits is 480, while the sum is 21.

The square root of 414561 is about 643.8641160990. The cubic root of 414561 is about 74.5640486398.

Adding to 414561 its reverse (165414), we get a palindrome (579975).

The spelling of 414561 in words is "four hundred fourteen thousand, five hundred sixty-one".