212304400 has 240 divisors, whose sum is σ = 652065408. Its totient is φ = 64512000.

The previous prime is 212304397. The next prime is 212304401. The reversal of 212304400 is 4403212.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212304401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1878744 + ... + 1878856.

Almost surely, 2^212304400 is an apocalyptic number.

212304400 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 212304400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326032704).

212304400 is an abundant number, since it is smaller than the sum of its proper divisors (439761008).

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

212304400 is a wasteful number, since it uses less digits than its factorization.

212304400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 212304400 is about 14570.6691678866. The cubic root of 212304400 is about 596.5584453946.

Adding to 212304400 its reverse (4403212), we get a palindrome (216707612).

The spelling of 212304400 in words is "two hundred twelve million, three hundred four thousand, four hundred".