212251460 has 48 divisors (see below), whose sum is σ = 474692400. Its totient is φ = 79441920.

The previous prime is 212251453. The next prime is 212251463. The reversal of 212251460 is 64152212.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 71639296 + 140612164 = 8464^2 + 11858^2 .

It is not an unprimeable number, because it can be changed into a prime (212251463) 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 15 ways as a sum of consecutive naturals, for example, 59816 + ... + 63264.

It is an arithmetic number, because the mean of its divisors is an integer number (9889425).

Almost surely, 2^212251460 is an apocalyptic number.

212251460 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 212251460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237346200).

212251460 is an abundant number, since it is smaller than the sum of its proper divisors (262440940).

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

212251460 is a wasteful number, since it uses less digits than its factorization.

212251460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3656 (or 3654 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 212251460 is about 14568.8523913176. The cubic root of 212251460 is about 596.5088555455.

The spelling of 212251460 in words is "two hundred twelve million, two hundred fifty-one thousand, four hundred sixty".