412211809 has 9 divisors (see below), whose sum is σ = 419126547. Its totient is φ = 405410304.

The previous prime is 412211747. The next prime is 412211837. The reversal of 412211809 is 908112214.

The square root of 412211809 is 20303.

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., 405821025 + 6390784 = 20145^2 + 2528^2 .

It is a de Polignac number, because none of the positive numbers 2^k-412211809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (412215809) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 1603809 + ... + 1604065.

Almost surely, 2^412211809 is an apocalyptic number.

412211809 is the 20303-rd square number.

412211809 is the 10152-nd centered octagonal number.

It is an amenable number.

412211809 is a deficient number, since it is larger than the sum of its proper divisors (6914738).

412211809 is an frugal number, since it uses more digits than its factorization.

412211809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 28.

The cubic root of 412211809 is about 744.2293783677.

It can be divided in two parts, 4122 and 11809, that added together give a triangular number (15931 = T₁₇₈).

The spelling of 412211809 in words is "four hundred twelve million, two hundred eleven thousand, eight hundred nine".