212405424 has 160 divisors (see below), whose sum is σ = 692098560. Its totient is φ = 54528000.

The previous prime is 212405411. The next prime is 212405443. The reversal of 212405424 is 424504212.

It is a happy number.

212405424 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 (24).

It is a junction number, because it is equal to n+sod(n) for n = 212405394 and 212405403.

It is an unprimeable number.

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, 373012 + ... + 373580.

It is an arithmetic number, because the mean of its divisors is an integer number (4325616).

Almost surely, 2^212405424 is an apocalyptic number.

212405424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212405424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346049280).

212405424 is an abundant number, since it is smaller than the sum of its proper divisors (479693136).

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

212405424 is a wasteful number, since it uses less digits than its factorization.

212405424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 212405424 is about 14574.1354460565. The cubic root of 212405424 is about 596.6530535197.

Adding to 212405424 its reverse (424504212), we get a palindrome (636909636).

The spelling of 212405424 in words is "two hundred twelve million, four hundred five thousand, four hundred twenty-four".