212326400 has 288 divisors, whose sum is σ = 639802800. Its totient is φ = 68812800.

The previous prime is 212326393. The next prime is 212326453. The reversal of 212326400 is 4623212.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7321586 + ... + 7321614.

Almost surely, 2^212326400 is an apocalyptic number.

212326400 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 212326400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319901400).

212326400 is an abundant number, since it is smaller than the sum of its proper divisors (427476400).

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

212326400 is a wasteful number, since it uses less digits than its factorization.

212326400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 212326400 is about 14571.4240896352. The cubic root of 212326400 is about 596.5790507652.

Adding to 212326400 its reverse (4623212), we get a palindrome (216949612).

The spelling of 212326400 in words is "two hundred twelve million, three hundred twenty-six thousand, four hundred".