211400400 has 120 divisors (see below), whose sum is σ = 683616960. Its totient is φ = 55838720.

The previous prime is 211400353. The next prime is 211400443. The reversal of 211400400 is 4004112.

211400400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

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 23 ways as a sum of consecutive naturals, for example, 134821 + ... + 136379.

It is an arithmetic number, because the mean of its divisors is an integer number (5696808).

Almost surely, 2^211400400 is an apocalyptic number.

211400400 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 211400400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341808480).

211400400 is an abundant number, since it is smaller than the sum of its proper divisors (472216560).

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

211400400 is a wasteful number, since it uses less digits than its factorization.

211400400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1693 (or 1682 counting only the distinct ones).

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

The square root of 211400400 is about 14539.6148504697. The cubic root of 211400400 is about 595.7105180982.

Adding to 211400400 its reverse (4004112), we get a palindrome (215404512).

The spelling of 211400400 in words is "two hundred eleven million, four hundred thousand, four hundred".