212413400 has 96 divisors (see below), whose sum is σ = 521283600. Its totient is φ = 80371200.

The previous prime is 212413391. The next prime is 212413417. The reversal of 212413400 is 4314212.

212413400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 307055 + ... + 307745.

Almost surely, 2^212413400 is an apocalyptic number.

212413400 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 212413400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260641800).

212413400 is an abundant number, since it is smaller than the sum of its proper divisors (308870200).

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

212413400 is a wasteful number, since it uses less digits than its factorization.

212413400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 789 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 212413400 is about 14574.4090789301. The cubic root of 212413400 is about 596.6605216988.

Adding to 212413400 its reverse (4314212), we get a palindrome (216727612).

The spelling of 212413400 in words is "two hundred twelve million, four hundred thirteen thousand, four hundred".