409147344 has 30 divisors (see below), whose sum is σ = 1145044706. Its totient is φ = 136382400.

The previous prime is 409147303. The next prime is 409147367. The reversal of 409147344 is 443741904.

It can be written as a sum of positive squares in only one way, i.e., 343731600 + 65415744 = 18540^2 + 8088^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 409147299 and 409147308.

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 1420507 + ... + 1420794.

Almost surely, 2^409147344 is an apocalyptic number.

It is an amenable number.

409147344 is an abundant number, since it is smaller than the sum of its proper divisors (735897362).

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

409147344 is a wasteful number, since it uses less digits than its factorization.

409147344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2841315 (or 2841306 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 409147344 is about 20227.3909340775. The cubic root of 409147344 is about 742.3805392274.

The spelling of 409147344 in words is "four hundred nine million, one hundred forty-seven thousand, three hundred forty-four".