411257 has 16 divisors (see below), whose sum is σ = 528000. Its totient is φ = 317520.

The previous prime is 411253. The next prime is 411259. The reversal of 411257 is 752114.

It is not a de Polignac number, because 411257 - 2² = 411253 is a prime.

It is an Ulam number.

It is a nialpdrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (411251) 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, 3719 + ... + 3827.

It is an arithmetic number, because the mean of its divisors is an integer number (33000).

2⁴¹¹²⁵⁷ is an apocalyptic number.

It is an amenable number.

411257 is a deficient number, since it is larger than the sum of its proper divisors (116743).

411257 is a wasteful number, since it uses less digits than its factorization.

411257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 127 counting only the distinct ones).

The product of its digits is 280, while the sum is 20.

The square root of 411257 is about 641.2932246640. The cubic root of 411257 is about 74.3654312949.

The spelling of 411257 in words is "four hundred eleven thousand, two hundred fifty-seven".