212254400 has 84 divisors (see below), whose sum is σ = 532345392. Its totient is φ = 83266560.

The previous prime is 212254391. The next prime is 212254403. The reversal of 212254400 is 4452212.

It is a happy number.

212254400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (212254403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 83549 + ... + 86051.

Almost surely, 2^212254400 is an apocalyptic number.

212254400 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 212254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266172696).

212254400 is an abundant number, since it is smaller than the sum of its proper divisors (320090992).

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

212254400 is a wasteful number, since it uses less digits than its factorization.

212254400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2578 (or 2563 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 212254400 is about 14568.9532911599. The cubic root of 212254400 is about 596.5116097125.

The spelling of 212254400 in words is "two hundred twelve million, two hundred fifty-four thousand, four hundred".