212248400 has 300 divisors, whose sum is σ = 678323772. Its totient is φ = 63221760.

The previous prime is 212248363. The next prime is 212248403. The reversal of 212248400 is 4842212.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 7529536 + 204718864 = 2744^2 + 14308^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212248403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 12485192 + ... + 12485208.

Almost surely, 2^212248400 is an apocalyptic number.

212248400 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 212248400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339161886).

212248400 is an abundant number, since it is smaller than the sum of its proper divisors (466075372).

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

212248400 is a wasteful number, since it uses less digits than its factorization.

212248400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

The square root of 212248400 is about 14568.7473723721. The cubic root of 212248400 is about 596.5059889364.

The spelling of 212248400 in words is "two hundred twelve million, two hundred forty-eight thousand, four hundred".