409507641 has 24 divisors (see below), whose sum is σ = 601001856. Its totient is φ = 268651680.

The previous prime is 409507633. The next prime is 409507649. The reversal of 409507641 is 146705904.

409507641 is a `hidden beast` number, since 4 + 0 + 9 + 5 + 0 + 7 + 641 = 666.

It is an interprime number because it is at equal distance from previous prime (409507633) and next prime (409507649).

It is not a de Polignac number, because 409507641 - 2³ = 409507633 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 409507596 and 409507605.

It is not an unprimeable number, because it can be changed into a prime (409507649) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 217936 + ... + 219806.

It is an arithmetic number, because the mean of its divisors is an integer number (25041744).

Almost surely, 2^409507641 is an apocalyptic number.

It is an amenable number.

409507641 is a deficient number, since it is larger than the sum of its proper divisors (191494215).

409507641 is a wasteful number, since it uses less digits than its factorization.

409507641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2253 (or 2250 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 409507641 is about 20236.2951401683. The cubic root of 409507641 is about 742.5983898457.

The spelling of 409507641 in words is "four hundred nine million, five hundred seven thousand, six hundred forty-one".