409352616 has 40 divisors (see below), whose sum is σ = 1146568170. Its totient is φ = 136450656.

The previous prime is 409352609. The next prime is 409352627. The reversal of 409352616 is 616253904.

It is a happy number.

409352616 is a `hidden beast` number, since 4 + 0 + 9 + 35 + 2 + 616 = 666.

It can be written as a sum of positive squares in only one way, i.e., 389904516 + 19448100 = 19746^2 + 4410^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 315211 + ... + 316506.

Almost surely, 2^409352616 is an apocalyptic number.

It is an amenable number.

409352616 is an abundant number, since it is smaller than the sum of its proper divisors (737215554).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

409352616 is a wasteful number, since it uses less digits than its factorization.

409352616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631735 (or 631722 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 409352616 is about 20232.4644074814. The cubic root of 409352616 is about 742.5046709226.

The spelling of 409352616 in words is "four hundred nine million, three hundred fifty-two thousand, six hundred sixteen".