409681644 has 48 divisors (see below), whose sum is σ = 973679616. Its totient is φ = 134041600.

The previous prime is 409681639. The next prime is 409681661. The reversal of 409681644 is 446186904.

It is a junction number, because it is equal to n+sod(n) for n = 409681596 and 409681605.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 218029 + ... + 219899.

It is an arithmetic number, because the mean of its divisors is an integer number (20284992).

Almost surely, 2^409681644 is an apocalyptic number.

It is an amenable number.

409681644 is an abundant number, since it is smaller than the sum of its proper divisors (563997972).

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

409681644 is a wasteful number, since it uses less digits than its factorization.

409681644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2206 (or 2204 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 409681644 is about 20240.5939636168. The cubic root of 409681644 is about 742.7035535737.

The spelling of 409681644 in words is "four hundred nine million, six hundred eighty-one thousand, six hundred forty-four".