212433408 has 240 divisors, whose sum is σ = 696622080. Its totient is φ = 63866880.

The previous prime is 212433407. The next prime is 212433409. The reversal of 212433408 is 804334212.

212433408 is a `hidden beast` number, since 212 + 43 + 3 + 408 = 666.

212433408 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (212433407) and next prime (212433409).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (212433407) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1672641 + ... + 1672767.

It is an arithmetic number, because the mean of its divisors is an integer number (2902592).

Almost surely, 2^212433408 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 212433408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348311040).

212433408 is an abundant number, since it is smaller than the sum of its proper divisors (484188672).

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

212433408 is a wasteful number, since it uses less digits than its factorization.

212433408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 212433408 is about 14575.0954713854. The cubic root of 212433408 is about 596.6792549942.

The spelling of 212433408 in words is "two hundred twelve million, four hundred thirty-three thousand, four hundred eight".