414261 has 16 divisors (see below), whose sum is σ = 625600. Its totient is φ = 270864.

The previous prime is 414259. The next prime is 414269. The reversal of 414261 is 162414.

It is not a de Polignac number, because 414261 - 2¹ = 414259 is a prime.

It is a super-2 number, since 2×414261² = 343224352242, which contains 22 as substring.

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 (414269) 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, 1695 + ... + 1923.

It is an arithmetic number, because the mean of its divisors is an integer number (39100).

2⁴¹⁴²⁶¹ is an apocalyptic number.

It is an amenable number.

414261 is a deficient number, since it is larger than the sum of its proper divisors (211339).

414261 is a wasteful number, since it uses less digits than its factorization.

414261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 299 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 414261 is about 643.6311055255. The cubic root of 414261 is about 74.5460580324.

Adding to 414261 its reverse (162414), we get a palindrome (576675).

The spelling of 414261 in words is "four hundred fourteen thousand, two hundred sixty-one".