212440 has 32 divisors (see below), whose sum is σ = 492480. Its totient is φ = 82432.

The previous prime is 212437. The next prime is 212447. The reversal of 212440 is 44212.

It is a plaindrome in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 212440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212447) 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 7 ways as a sum of consecutive naturals, for example, 1824 + ... + 1936.

It is an arithmetic number, because the mean of its divisors is an integer number (15390).

2²¹²⁴⁴⁰ is an apocalyptic number.

212440 is a gapful number since it is divisible by the number (20) 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 212440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246240).

212440 is an abundant number, since it is smaller than the sum of its proper divisors (280040).

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

212440 is a wasteful number, since it uses less digits than its factorization.

212440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 212440 is about 460.9121391328. The cubic root of 212440 is about 59.6685426762.

Adding to 212440 its reverse (44212), we get a palindrome (256652).

The spelling of 212440 in words is "two hundred twelve thousand, four hundred forty", and thus it is an iban number.