411957 has 24 divisors (see below), whose sum is σ = 733824. Its totient is φ = 216864.

The previous prime is 411947. The next prime is 411967. The reversal of 411957 is 759114.

It is an interprime number because it is at equal distance from previous prime (411947) and next prime (411967).

It is not a de Polignac number, because 411957 - 2⁴ = 411941 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 411957.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (411937) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 568 + ... + 1070.

It is an arithmetic number, because the mean of its divisors is an integer number (30576).

2⁴¹¹⁹⁵⁷ is an apocalyptic number.

It is an amenable number.

411957 is a deficient number, since it is larger than the sum of its proper divisors (321867).

411957 is a wasteful number, since it uses less digits than its factorization.

411957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 526 counting only the distinct ones).

The product of its digits is 1260, while the sum is 27.

The square root of 411957 is about 641.8387648000. The cubic root of 411957 is about 74.4075998133.

The spelling of 411957 in words is "four hundred eleven thousand, nine hundred fifty-seven".