211414400 has 48 divisors (see below), whose sum is σ = 522267540. Its totient is φ = 84564480.

The previous prime is 211414361. The next prime is 211414429. The reversal of 211414400 is 4414112.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 29834 + ... + 36233.

Almost surely, 2^211414400 is an apocalyptic number.

211414400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211414400 is an abundant number, since it is smaller than the sum of its proper divisors (310853140).

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

211414400 is an equidigital number, since it uses as much as digits as its factorization.

211414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66091 (or 66074 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 211414400 is about 14540.0962857885. The cubic root of 211414400 is about 595.7236681256.

Adding to 211414400 its reverse (4414112), we get a palindrome (215828512).

The spelling of 211414400 in words is "two hundred eleven million, four hundred fourteen thousand, four hundred".