409334544 has 60 divisors (see below), whose sum is σ = 1172227056. Its totient is φ = 133269696.

The previous prime is 409334543. The next prime is 409334561. The reversal of 409334544 is 445433904.

It is a happy number.

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 = 409334499 and 409334508.

It is not an unprimeable number, because it can be changed into a prime (409334543) 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 11 ways as a sum of consecutive naturals, for example, 26862 + ... + 39245.

Almost surely, 2^409334544 is an apocalyptic number.

It is an amenable number.

409334544 is an abundant number, since it is smaller than the sum of its proper divisors (762892512).

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

409334544 is a wasteful number, since it uses less digits than its factorization.

409334544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66164 (or 66155 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 409334544 is about 20232.0177935865. The cubic root of 409334544 is about 742.4937441231.

The spelling of 409334544 in words is "four hundred nine million, three hundred thirty-four thousand, five hundred forty-four".