409538900 has 36 divisors (see below), whose sum is σ = 890443008. Its totient is φ = 163494240.

The previous prime is 409538893. The next prime is 409538981. The reversal of 409538900 is 9835904.

409538900 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×409538900² = 335444221226420000, which contains 22 as substring.

It is a congruent number.

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 in 11 ways as a sum of consecutive naturals, for example, 50957 + ... + 58443.

It is an arithmetic number, because the mean of its divisors is an integer number (24734528).

Almost surely, 2^409538900 is an apocalyptic number.

It is an amenable number.

409538900 is an abundant number, since it is smaller than the sum of its proper divisors (480904108).

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

409538900 is a wasteful number, since it uses less digits than its factorization.

409538900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8048 (or 8041 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 38.

The square root of 409538900 is about 20237.0674753038. The cubic root of 409538900 is about 742.6172843181.

The spelling of 409538900 in words is "four hundred nine million, five hundred thirty-eight thousand, nine hundred".