211440 has 40 divisors (see below), whose sum is σ = 656208. Its totient is φ = 56320.

The previous prime is 211433. The next prime is 211441. The reversal of 211440 is 44112.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an Ulam number.

It is a zygodrome in base 2.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 211440.

It is not an unprimeable number, because it can be changed into a prime (211441) by changing a digit.

211440 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 201 + ... + 680.

2²¹¹⁴⁴⁰ is an apocalyptic number.

211440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211440 is an abundant number, since it is smaller than the sum of its proper divisors (444768).

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

211440 is a wasteful number, since it uses less digits than its factorization.

211440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 897 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 211440 is about 459.8260540683. The cubic root of 211440 is about 59.5747712389.

Adding to 211440 its reverse (44112), we get a palindrome (255552).

The spelling of 211440 in words is "two hundred eleven thousand, four hundred forty", and thus it is an iban number.