414104253 has 16 divisors (see below), whose sum is σ = 579011520. Its totient is φ = 262894464.

The previous prime is 414104239. The next prime is 414104267. The reversal of 414104253 is 352401414.

It is an interprime number because it is at equal distance from previous prime (414104239) and next prime (414104267).

It is not a de Polignac number, because 414104253 - 2⁴ = 414104237 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414104203) 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, 26251 + ... + 38952.

It is an arithmetic number, because the mean of its divisors is an integer number (36188220).

Almost surely, 2^414104253 is an apocalyptic number.

It is an amenable number.

414104253 is a deficient number, since it is larger than the sum of its proper divisors (164907267).

414104253 is a wasteful number, since it uses less digits than its factorization.

414104253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65308.

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 414104253 is about 20349.5516658230. The cubic root of 414104253 is about 745.3665466505.

Adding to 414104253 its reverse (352401414), we get a palindrome (766505667).

The spelling of 414104253 in words is "four hundred fourteen million, one hundred four thousand, two hundred fifty-three".