409954 has 8 divisors (see below), whose sum is σ = 623808. Its totient is φ = 202020.

The previous prime is 409951. The next prime is 409961. The reversal of 409954 is 459904.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (409951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1302 + ... + 1585.

It is an arithmetic number, because the mean of its divisors is an integer number (77976).

2⁴⁰⁹⁹⁵⁴ is an apocalyptic number.

409954 is a deficient number, since it is larger than the sum of its proper divisors (213854).

409954 is a wasteful number, since it uses less digits than its factorization.

409954 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2960.

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 409954 is about 640.2765027705. The cubic root of 409954 is about 74.2868100007.

The spelling of 409954 in words is "four hundred nine thousand, nine hundred fifty-four".