212301440 has 256 divisors, whose sum is σ = 616896000. Its totient is φ = 69009408.

The previous prime is 212301413. The next prime is 212301451. The reversal of 212301440 is 44103212.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2687321 + ... + 2687399.

It is an arithmetic number, because the mean of its divisors is an integer number (2409750).

Almost surely, 2^212301440 is an apocalyptic number.

212301440 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 212301440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308448000).

212301440 is an abundant number, since it is smaller than the sum of its proper divisors (404594560).

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

212301440 is a wasteful number, since it uses less digits than its factorization.

212301440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 212301440 is about 14570.5675936114. The cubic root of 212301440 is about 596.5556729271. Note that the first 3 decimals are identical.

Adding to 212301440 its reverse (44103212), we get a palindrome (256404652).

The spelling of 212301440 in words is "two hundred twelve million, three hundred one thousand, four hundred forty".