212310480 has 80 divisors (see below), whose sum is σ = 661207680. Its totient is φ = 56354304.

The previous prime is 212310457. The next prime is 212310509. The reversal of 212310480 is 84013212.

212310480 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 (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53029 + ... + 56891.

It is an arithmetic number, because the mean of its divisors is an integer number (8265096).

Almost surely, 2^212310480 is an apocalyptic number.

212310480 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 212310480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330603840).

212310480 is an abundant number, since it is smaller than the sum of its proper divisors (448897200).

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

212310480 is a wasteful number, since it uses less digits than its factorization.

212310480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4108 (or 4102 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 212310480 is about 14570.8778047172. The cubic root of 212310480 is about 596.5641401121.

Adding to 212310480 its reverse (84013212), we get a palindrome (296323692).

The spelling of 212310480 in words is "two hundred twelve million, three hundred ten thousand, four hundred eighty".