414253 has 16 divisors (see below), whose sum is σ = 516096. Its totient is φ = 324720.

The previous prime is 414241. The next prime is 414259. The reversal of 414253 is 352414.

It is a cyclic number.

It is not a de Polignac number, because 414253 - 2⁵ = 414221 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 414253.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414259) 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, 4950 + ... + 5032.

It is an arithmetic number, because the mean of its divisors is an integer number (32256).

2⁴¹⁴²⁵³ is an apocalyptic number.

It is an amenable number.

414253 is a deficient number, since it is larger than the sum of its proper divisors (101843).

414253 is a wasteful number, since it uses less digits than its factorization.

414253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144.

The product of its digits is 480, while the sum is 19.

The square root of 414253 is about 643.6248907555. The cubic root of 414253 is about 74.5455781639.

Adding to 414253 its reverse (352414), we get a palindrome (766667).

The spelling of 414253 in words is "four hundred fourteen thousand, two hundred fifty-three".