412509808 has 40 divisors (see below), whose sum is σ = 826839936. Its totient is φ = 199161600.

The previous prime is 412509791. The next prime is 412509829. The reversal of 412509808 is 808905214.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 406710 + ... + 407722.

Almost surely, 2^412509808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412509808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413419968).

412509808 is an abundant number, since it is smaller than the sum of its proper divisors (414330128).

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

412509808 is a wasteful number, since it uses less digits than its factorization.

412509808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1873 (or 1867 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 37.

The square root of 412509808 is about 20310.3374664233. The cubic root of 412509808 is about 744.4086763109.

The spelling of 412509808 in words is "four hundred twelve million, five hundred nine thousand, eight hundred eight".