409888 has 12 divisors (see below), whose sum is σ = 807030. Its totient is φ = 204928.

The previous prime is 409879. The next prime is 409889. The reversal of 409888 is 888904.

409888 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 374544 + 35344 = 612^2 + 188^2 .

It is not an unprimeable number, because it can be changed into a prime (409889) by changing a digit.

409888 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6373 + ... + 6436.

2⁴⁰⁹⁸⁸⁸ is an apocalyptic number.

It is an amenable number.

409888 is a deficient number, since it is larger than the sum of its proper divisors (397142).

409888 is a wasteful number, since it uses less digits than its factorization.

409888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12819 (or 12811 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 37.

The square root of 409888 is about 640.2249604631. The cubic root of 409888 is about 74.2828232180.

It can be divided in two parts, 4098 and 88, that added together give a triangular number (4186 = T₉₁).

The spelling of 409888 in words is "four hundred nine thousand, eight hundred eighty-eight".