212030400 has 168 divisors, whose sum is σ = 702486784. Its totient is φ = 55987200.

The previous prime is 212030363. The next prime is 212030417. The reversal of 212030400 is 4030212.

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, 782265 + ... + 782535.

Almost surely, 2^212030400 is an apocalyptic number.

212030400 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 212030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351243392).

212030400 is an abundant number, since it is smaller than the sum of its proper divisors (490456384).

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

212030400 is a wasteful number, since it uses less digits than its factorization.

212030400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 212030400 is about 14561.2636814255. The cubic root of 212030400 is about 596.3016955209.

Adding to 212030400 its reverse (4030212), we get a palindrome (216060612).

The spelling of 212030400 in words is "two hundred twelve million, thirty thousand, four hundred".