409951 has 2 divisors, whose sum is σ = 409952. Its totient is φ = 409950.

The previous prime is 409943. The next prime is 409961. The reversal of 409951 is 159904.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 409951 - 2³ = 409943 is a prime.

It is a Chen prime.

409951 is a lucky number.

It is a plaindrome in base 13.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (409901) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 204975 + 204976.

It is an arithmetic number, because the mean of its divisors is an integer number (204976).

2⁴⁰⁹⁹⁵¹ is an apocalyptic number.

409951 is a deficient number, since it is larger than the sum of its proper divisors (1).

409951 is an equidigital number, since it uses as much as digits as its factorization.

409951 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1620, while the sum is 28.

The square root of 409951 is about 640.2741600283. The cubic root of 409951 is about 74.2866287926.

Subtracting from 409951 its reverse (159904), we obtain a cube (250047 = 63³).

The spelling of 409951 in words is "four hundred nine thousand, nine hundred fifty-one".