409826121 has 16 divisors (see below), whose sum is σ = 579546240. Its totient is φ = 257051520.

The previous prime is 409826117. The next prime is 409826141. The reversal of 409826121 is 121628904.

It is not a de Polignac number, because 409826121 - 2² = 409826117 is a prime.

It is not an unprimeable number, because it can be changed into a prime (409826111) 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, 44476 + ... + 52893.

It is an arithmetic number, because the mean of its divisors is an integer number (36221640).

Almost surely, 2^409826121 is an apocalyptic number.

It is an amenable number.

409826121 is a deficient number, since it is larger than the sum of its proper divisors (169720119).

409826121 is a wasteful number, since it uses less digits than its factorization.

409826121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97456.

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 409826121 is about 20244.1626401291. The cubic root of 409826121 is about 742.7908497882.

The spelling of 409826121 in words is "four hundred nine million, eight hundred twenty-six thousand, one hundred twenty-one".