212762480 has 80 divisors (see below), whose sum is σ = 598622400. Its totient is φ = 68653056.

The previous prime is 212762447. The next prime is 212762491. The reversal of 212762480 is 84267212.

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

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1655 + ... + 20694.

It is an arithmetic number, because the mean of its divisors is an integer number (7482780).

Almost surely, 2^212762480 is an apocalyptic number.

212762480 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 212762480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299311200).

212762480 is an abundant number, since it is smaller than the sum of its proper divisors (385859920).

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

212762480 is a wasteful number, since it uses less digits than its factorization.

212762480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22386 (or 22380 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 212762480 is about 14586.3799484313. The cubic root of 212762480 is about 596.9871932773.

The spelling of 212762480 in words is "two hundred twelve million, seven hundred sixty-two thousand, four hundred eighty".