211270400 has 108 divisors (see below), whose sum is σ = 570656184. Its totient is φ = 76800000.

The previous prime is 211270379. The next prime is 211270403. The reversal of 211270400 is 4072112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211270403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 68900 + ... + 71900.

Almost surely, 2^211270400 is an apocalyptic number.

211270400 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 211270400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285328092).

211270400 is an abundant number, since it is smaller than the sum of its proper divisors (359385784).

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

211270400 is a wasteful number, since it uses less digits than its factorization.

211270400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3038 (or 3019 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 17.

The square root of 211270400 is about 14535.1436181415. The cubic root of 211270400 is about 595.5883829665.

The spelling of 211270400 in words is "two hundred eleven million, two hundred seventy thousand, four hundred".