409516849 has 16 divisors (see below), whose sum is σ = 477767808. Its totient is φ = 343729152.

The previous prime is 409516847. The next prime is 409516867. The reversal of 409516849 is 948615904.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 409516849 - 2¹ = 409516847 is a prime.

It is a super-2 number, since 2×409516849² = 335408099229777602, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 409516799 and 409516808.

It is not an unprimeable number, because it can be changed into a prime (409516843) 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, 335889 + ... + 337105.

It is an arithmetic number, because the mean of its divisors is an integer number (29860488).

Almost surely, 2^409516849 is an apocalyptic number.

It is an amenable number.

409516849 is a deficient number, since it is larger than the sum of its proper divisors (68250959).

409516849 is a wasteful number, since it uses less digits than its factorization.

409516849 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2184.

The product of its (nonzero) digits is 311040, while the sum is 46.

The square root of 409516849 is about 20236.5226508904. The cubic root of 409516849 is about 742.6039557123.

The spelling of 409516849 in words is "four hundred nine million, five hundred sixteen thousand, eight hundred forty-nine".