212585440 has 48 divisors (see below), whose sum is σ = 503768160. Its totient is φ = 84774400.

The previous prime is 212585423. The next prime is 212585441. The reversal of 212585440 is 44585212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212585441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55590 + ... + 59290.

It is an arithmetic number, because the mean of its divisors is an integer number (10495170).

Almost surely, 2^212585440 is an apocalyptic number.

212585440 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 212585440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251884080).

212585440 is an abundant number, since it is smaller than the sum of its proper divisors (291182720).

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

212585440 is a wasteful number, since it uses less digits than its factorization.

212585440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4075 (or 4067 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 31.

The square root of 212585440 is about 14580.3100104216. The cubic root of 212585440 is about 596.8215626620.

The spelling of 212585440 in words is "two hundred twelve million, five hundred eighty-five thousand, four hundred forty".