211314400 has 216 divisors, whose sum is σ = 592227720. Its totient is φ = 73497600.

The previous prime is 211314379. The next prime is 211314421. The reversal of 211314400 is 4413112.

It is an interprime number because it is at equal distance from previous prime (211314379) and next prime (211314421).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3581571 + ... + 3581629.

It is an arithmetic number, because the mean of its divisors is an integer number (2741795).

Almost surely, 2^211314400 is an apocalyptic number.

211314400 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 211314400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296113860).

211314400 is an abundant number, since it is smaller than the sum of its proper divisors (380913320).

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

211314400 is a wasteful number, since it uses less digits than its factorization.

211314400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 211314400 is about 14536.6571122800. The cubic root of 211314400 is about 595.6297266187.

Adding to 211314400 its reverse (4413112), we get a palindrome (215727512).

The spelling of 211314400 in words is "two hundred eleven million, three hundred fourteen thousand, four hundred".