409881664 has 14 divisors (see below), whose sum is σ = 813359054. Its totient is φ = 204940800.

The previous prime is 409881653. The next prime is 409881683. The reversal of 409881664 is 466188904.

It can be written as a sum of positive squares in only one way, i.e., 313998400 + 95883264 = 17720^2 + 9792^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3202137 + ... + 3202264.

Almost surely, 2^409881664 is an apocalyptic number.

It is an amenable number.

409881664 is a deficient number, since it is larger than the sum of its proper divisors (403477390).

409881664 is an equidigital number, since it uses as much as digits as its factorization.

409881664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6404413 (or 6404403 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 46.

The square root of 409881664 is about 20245.5344212001. The cubic root of 409881664 is about 742.8244046434.

The spelling of 409881664 in words is "four hundred nine million, eight hundred eighty-one thousand, six hundred sixty-four".