203309006404 has 135 divisors (see below), whose sum is σ = 428950201407. Its totient is φ = 84310711632.

The previous prime is 203309006401. The next prime is 203309006431. The reversal of 203309006404 is 404600903302.

The square root of 203309006404 is 450898.

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

203309006404 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×203309006404² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (203309006401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1900084119 + ... + 1900084225.

Almost surely, 2^203309006404 is an apocalyptic number.

203309006404 is the 450898-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 203309006404

203309006404 is an abundant number, since it is smaller than the sum of its proper divisors (225641195003).

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

203309006404 is an frugal number, since it uses more digits than its factorization.

203309006404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 31.

Adding to 203309006404 its reverse (404600903302), we get a palindrome (607909909706).

The spelling of 203309006404 in words is "two hundred three billion, three hundred nine million, six thousand, four hundred four".