403889409 has 135 divisors (see below), whose sum is σ = 798969171. Its totient is φ = 202577760.

The previous prime is 403889389. The next prime is 403889477. The reversal of 403889409 is 904988304.

It is a happy number.

The square root of 403889409 is 20097.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 211789809 + 192099600 = 14553^2 + 13860^2 .

It is not a de Polignac number, because 403889409 - 2⁹ = 403888897 is a prime.

It is not an unprimeable number, because it can be changed into a prime (403889489) by changing a digit.

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 in 134 ways as a sum of consecutive naturals, for example, 13927207 + ... + 13927235.

Almost surely, 2^403889409 is an apocalyptic number.

403889409 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

403889409 is the 20097-th square number.

403889409 is the 10049-th centered octagonal number.

It is an amenable number.

403889409 is a deficient number, since it is larger than the sum of its proper divisors (395079762).

403889409 is a wasteful number, since it uses less digits than its factorization.

403889409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The cubic root of 403889409 is about 739.1867185114.

The spelling of 403889409 in words is "four hundred three million, eight hundred eighty-nine thousand, four hundred nine".