212009400 has 240 divisors, whose sum is σ = 769705200. Its totient is φ = 53982720.

The previous prime is 212009383. The next prime is 212009407. The reversal of 212009400 is 4900212.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212009407) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 372316 + ... + 372884.

It is an arithmetic number, because the mean of its divisors is an integer number (3207105).

Almost surely, 2^212009400 is an apocalyptic number.

212009400 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 212009400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384852600).

212009400 is an abundant number, since it is smaller than the sum of its proper divisors (557695800).

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

212009400 is a wasteful number, since it uses less digits than its factorization.

212009400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 212009400 is about 14560.5425723082. The cubic root of 212009400 is about 596.2820084870.

Adding to 212009400 its reverse (4900212), we get a palindrome (216909612).

The spelling of 212009400 in words is "two hundred twelve million, nine thousand, four hundred".