212025440 has 96 divisors (see below), whose sum is σ = 557002656. Its totient is φ = 75612160.

The previous prime is 212025421. The next prime is 212025449. The reversal of 212025440 is 44520212.

It is a happy number.

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 (212025449) 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, 92144 + ... + 94416.

It is an arithmetic number, because the mean of its divisors is an integer number (5802111).

Almost surely, 2^212025440 is an apocalyptic number.

212025440 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 212025440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278501328).

212025440 is an abundant number, since it is smaller than the sum of its proper divisors (344977216).

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

212025440 is a wasteful number, since it uses less digits than its factorization.

212025440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2352 (or 2344 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 212025440 is about 14561.0933655409. The cubic root of 212025440 is about 596.2970457482.

Adding to 212025440 its reverse (44520212), we get a palindrome (256545652).

The spelling of 212025440 in words is "two hundred twelve million, twenty-five thousand, four hundred forty".