212005460 has 24 divisors (see below), whose sum is σ = 446257896. Its totient is φ = 84602880.

The previous prime is 212005433. The next prime is 212005463. The reversal of 212005460 is 64500212.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 12292036 + 199713424 = 3506^2 + 14132^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212005463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3581 + ... + 20900.

It is an arithmetic number, because the mean of its divisors is an integer number (18594079).

Almost surely, 2^212005460 is an apocalyptic number.

212005460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212005460 is an abundant number, since it is smaller than the sum of its proper divisors (234252436).

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

212005460 is a wasteful number, since it uses less digits than its factorization.

212005460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24923 (or 24921 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 212005460 is about 14560.4072745236. The cubic root of 212005460 is about 596.2783146796.

Adding to 212005460 its reverse (64500212), we get a palindrome (276505672).

The spelling of 212005460 in words is "two hundred twelve million, five thousand, four hundred sixty".