212963790400 has 189 divisors, whose sum is σ = 534257014161. Its totient is φ = 83553722880.

The previous prime is 212963790383. The next prime is 212963790401. The reversal of 212963790400 is 4097369212.

The square root of 212963790400 is 461480.

It is a perfect power (a square), and thus also a powerful number.

212963790400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 76666964544 + 136296825856 = 276888^2 + 369184^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (212963790401) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1532113531 + ... + 1532113669.

Almost surely, 2^212963790400 is an apocalyptic number.

212963790400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

212963790400 is the 461480-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212963790400

212963790400 is an abundant number, since it is smaller than the sum of its proper divisors (321293223761).

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

212963790400 is an frugal number, since it uses more digits than its factorization.

212963790400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 43.

The spelling of 212963790400 in words is "two hundred twelve billion, nine hundred sixty-three million, seven hundred ninety thousand, four hundred".