212924800 has 192 divisors, whose sum is σ = 601032960. Its totient is φ = 73779200.

The previous prime is 212924791. The next prime is 212924801. The reversal of 212924800 is 8429212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212924801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 809469 + ... + 809731.

It is an arithmetic number, because the mean of its divisors is an integer number (3130380).

Almost surely, 2^212924800 is an apocalyptic number.

212924800 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 212924800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300516480).

212924800 is an abundant number, since it is smaller than the sum of its proper divisors (388108160).

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

212924800 is a wasteful number, since it uses less digits than its factorization.

212924800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 212924800 is about 14591.9429823447. The cubic root of 212924800 is about 597.1389718062.

The spelling of 212924800 in words is "two hundred twelve million, nine hundred twenty-four thousand, eight hundred".