409001241 has 16 divisors (see below), whose sum is σ = 595249920. Its totient is φ = 247738320.

The previous prime is 409001233. The next prime is 409001267. The reversal of 409001241 is 142100904.

It is not a de Polignac number, because 409001241 - 2³ = 409001233 is a prime.

It is not an unprimeable number, because it can be changed into a prime (409001221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105646 + ... + 109448.

It is an arithmetic number, because the mean of its divisors is an integer number (37203120).

Almost surely, 2^409001241 is an apocalyptic number.

It is an amenable number.

409001241 is a deficient number, since it is larger than the sum of its proper divisors (186248679).

409001241 is a wasteful number, since it uses less digits than its factorization.

409001241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7076.

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 409001241 is about 20223.7790978838. The cubic root of 409001241 is about 742.2921628038.

The spelling of 409001241 in words is "four hundred nine million, one thousand, two hundred forty-one".