414257 has 4 divisors (see below), whose sum is σ = 436080. Its totient is φ = 392436.

The previous prime is 414241. The next prime is 414259. The reversal of 414257 is 752414.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 414257 - 2⁴ = 414241 is a prime.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 414257.

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 3 ways as a sum of consecutive naturals, for example, 10883 + ... + 10920.

It is an arithmetic number, because the mean of its divisors is an integer number (109020).

2⁴¹⁴²⁵⁷ is an apocalyptic number.

It is an amenable number.

414257 is a deficient number, since it is larger than the sum of its proper divisors (21823).

414257 is a wasteful number, since it uses less digits than its factorization.

414257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21822.

The product of its digits is 1120, while the sum is 23.

The square root of 414257 is about 643.6279981480. The cubic root of 414257 is about 74.5458180989.

The spelling of 414257 in words is "four hundred fourteen thousand, two hundred fifty-seven".