212145440 has 96 divisors (see below), whose sum is σ = 558517680. Its totient is φ = 75608064.

The previous prime is 212145413. The next prime is 212145443. The reversal of 212145440 is 44541212.

It can be written as a sum of positive squares in 8 ways, for example, as 113976976 + 98168464 = 10676^2 + 9908^2 .

It is not an unprimeable number, because it can be changed into a prime (212145443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58562 + ... + 62078.

Almost surely, 2^212145440 is an apocalyptic number.

212145440 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 212145440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279258840).

212145440 is an abundant number, since it is smaller than the sum of its proper divisors (346372240).

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

212145440 is a wasteful number, since it uses less digits than its factorization.

212145440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3574 (or 3566 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

The square root of 212145440 is about 14565.2133523680. The cubic root of 212145440 is about 596.4095199090.

Adding to 212145440 its reverse (44541212), we get a palindrome (256686652).

The spelling of 212145440 in words is "two hundred twelve million, one hundred forty-five thousand, four hundred forty".