211440000 has 160 divisors (see below), whose sum is σ = 702618840. Its totient is φ = 56320000.

The previous prime is 211439983. The next prime is 211440023. The reversal of 211440000 is 44112.

It is a tau number, because it is divible by the number of its divisors (160).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 239560 + ... + 240440.

Almost surely, 2^211440000 is an apocalyptic number.

211440000 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 211440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351309420).

211440000 is an abundant number, since it is smaller than the sum of its proper divisors (491178840).

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

211440000 is an frugal number, since it uses more digits than its factorization.

211440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918 (or 891 counting only the distinct ones).

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

The square root of 211440000 is about 14540.9765834348. The cubic root of 211440000 is about 595.7477123887.

Adding to 211440000 its reverse (44112), we get a palindrome (211484112).

The spelling of 211440000 in words is "two hundred eleven million, four hundred forty thousand".