211938400 has 144 divisors (see below), whose sum is σ = 543433968. Its totient is φ = 80640000.

The previous prime is 211938379. The next prime is 211938421. The reversal of 211938400 is 4839112.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (211938379) and next prime (211938421).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2098350 + ... + 2098450.

It is an arithmetic number, because the mean of its divisors is an integer number (3773847).

Almost surely, 2^211938400 is an apocalyptic number.

211938400 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 211938400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271716984).

211938400 is an abundant number, since it is smaller than the sum of its proper divisors (331495568).

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

211938400 is a wasteful number, since it uses less digits than its factorization.

211938400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 211938400 is about 14558.1042721915. The cubic root of 211938400 is about 596.2154379332.

The spelling of 211938400 in words is "two hundred eleven million, nine hundred thirty-eight thousand, four hundred".