409957 has 4 divisors (see below), whose sum is σ = 412236. Its totient is φ = 407680.

The previous prime is 409951. The next prime is 409961. The reversal of 409957 is 759904.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 306916 + 103041 = 554^2 + 321^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-409957 is a prime.

It is a Duffinian number.

409957 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409951) 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, 844 + ... + 1237.

It is an arithmetic number, because the mean of its divisors is an integer number (103059).

2⁴⁰⁹⁹⁵⁷ is an apocalyptic number.

It is an amenable number.

409957 is a deficient number, since it is larger than the sum of its proper divisors (2279).

409957 is a wasteful number, since it uses less digits than its factorization.

409957 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2278.

The product of its (nonzero) digits is 11340, while the sum is 34.

The square root of 409957 is about 640.2788455041. The cubic root of 409957 is about 74.2869912080.

The spelling of 409957 in words is "four hundred nine thousand, nine hundred fifty-seven".