212544432 has 160 divisors (see below), whose sum is σ = 642816000. Its totient is φ = 67150080.

The previous prime is 212544427. The next prime is 212544439. The reversal of 212544432 is 234445212.

212544432 is a `hidden beast` number, since 212 + 5 + 4 + 443 + 2 = 666.

212544432 is digitally balanced in base 2, 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 (27).

It is a junction number, because it is equal to n+sod(n) for n = 212544396 and 212544405.

It is not an unprimeable number, because it can be changed into a prime (212544439) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 789994 + ... + 790262.

It is an arithmetic number, because the mean of its divisors is an integer number (4017600).

Almost surely, 2^212544432 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 212544432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321408000).

212544432 is an abundant number, since it is smaller than the sum of its proper divisors (430271568).

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

212544432 is a wasteful number, since it uses less digits than its factorization.

212544432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 364 counting only the distinct ones).

The product of its digits is 7680, while the sum is 27.

The square root of 212544432 is about 14578.9036624844. The cubic root of 212544432 is about 596.7831843163.

Adding to 212544432 its reverse (234445212), we get a palindrome (446989644).

It can be divided in two parts, 212 and 544432, that added together give a square (544644 = 738²).

The spelling of 212544432 in words is "two hundred twelve million, five hundred forty-four thousand, four hundred thirty-two".