212044880 has 40 divisors (see below), whose sum is σ = 496341000. Its totient is φ = 84243968.

The previous prime is 212044841. The next prime is 212044909. The reversal of 212044880 is 88440212.

It can be written as a sum of positive squares in 4 ways, for example, as 35473936 + 176570944 = 5956^2 + 13288^2 .

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

It is a super-2 number, since 2×212044880² = 89926062268428800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3026 + ... + 20814.

It is an arithmetic number, because the mean of its divisors is an integer number (12408525).

Almost surely, 2^212044880 is an apocalyptic number.

212044880 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 212044880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248170500).

212044880 is an abundant number, since it is smaller than the sum of its proper divisors (284296120).

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

212044880 is a wasteful number, since it uses less digits than its factorization.

212044880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17951 (or 17945 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 29.

The square root of 212044880 is about 14561.7608825307. The cubic root of 212044880 is about 596.3152694424.

The spelling of 212044880 in words is "two hundred twelve million, forty-four thousand, eight hundred eighty".