212480 has 40 divisors (see below), whose sum is σ = 515592. Its totient is φ = 83968.

The previous prime is 212479. The next prime is 212501. The reversal of 212480 is 84212.

It is a tau number, because it is divible by the number of its divisors (40).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2519 + ... + 2601.

2²¹²⁴⁸⁰ is an apocalyptic number.

212480 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 212480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257796).

212480 is an abundant number, since it is smaller than the sum of its proper divisors (303112).

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

212480 is an frugal number, since it uses more digits than its factorization.

212480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 212480 is about 460.9555293084. The cubic root of 212480 is about 59.6722874071.

Adding to 212480 its reverse (84212), we get a palindrome (296692).

The spelling of 212480 in words is "two hundred twelve thousand, four hundred eighty".