212463284400 has 90 divisors (see below), whose sum is σ = 737306626940. Its totient is φ = 56656874880.

The previous prime is 212463284393. The next prime is 212463284431. The reversal of 212463284400 is 4482364212.

212463284400 is a `hidden beast` number, since 2 + 1 + 246 + 3 + 2 + 8 + 4 + 400 = 666.

212463284400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 29505190 + ... + 29512389.

Almost surely, 2^212463284400 is an apocalyptic number.

212463284400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212463284400 is an abundant number, since it is smaller than the sum of its proper divisors (524843342540).

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

212463284400 is a wasteful number, since it uses less digits than its factorization.

212463284400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59017603 (or 59017589 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 212463284400 in words is "two hundred twelve billion, four hundred sixty-three million, two hundred eighty-four thousand, four hundred".