212463600 has 120 divisors (see below), whose sum is σ = 687722352. Its totient is φ = 56064000.

The previous prime is 212463571. The next prime is 212463619. The reversal of 212463600 is 6364212.

212463600 is digitally balanced in base 3, 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 (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 120324 + ... + 122076.

Almost surely, 2^212463600 is an apocalyptic number.

212463600 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 212463600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343861176).

212463600 is an abundant number, since it is smaller than the sum of its proper divisors (475258752).

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

212463600 is a wasteful number, since it uses less digits than its factorization.

212463600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1875 (or 1864 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 212463600 is about 14576.1311739432. The cubic root of 212463600 is about 596.7075212429.

The spelling of 212463600 in words is "two hundred twelve million, four hundred sixty-three thousand, six hundred".