212209408 has 54 divisors (see below), whose sum is σ = 443090144. Its totient is φ = 101426688.

The previous prime is 212209397. The next prime is 212209409. The reversal of 212209408 is 804902212.

212209408 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212209409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 134641 + ... + 136207.

Almost surely, 2^212209408 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 212209408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221545072).

212209408 is an abundant number, since it is smaller than the sum of its proper divisors (230880736).

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

212209408 is an equidigital number, since it uses as much as digits as its factorization.

212209408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1629 (or 1592 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 212209408 is about 14567.4091038867. The cubic root of 212209408 is about 596.4694588048.

It can be divided in two parts, 21220 and 9408, that added together give a triangular number (30628 = T₂₄₇).

The spelling of 212209408 in words is "two hundred twelve million, two hundred nine thousand, four hundred eight".