212085456 has 160 divisors (see below), whose sum is σ = 624710016. Its totient is φ = 61440000.

The previous prime is 212085451. The next prime is 212085473. The reversal of 212085456 is 654580212.

212085456 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212085451) 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 31 ways as a sum of consecutive naturals, for example, 2099806 + ... + 2099906.

Almost surely, 2^212085456 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 212085456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312355008).

212085456 is an abundant number, since it is smaller than the sum of its proper divisors (412624560).

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

212085456 is a wasteful number, since it uses less digits than its factorization.

212085456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 212085456 is about 14563.1540539816. The cubic root of 212085456 is about 596.3533031284.

The spelling of 212085456 in words is "two hundred twelve million, eighty-five thousand, four hundred fifty-six".