214241280 has 208 divisors, whose sum is σ = 750164544. Its totient is φ = 51773440.

The previous prime is 214241239. The next prime is 214241303. The reversal of 214241280 is 82142412.

214241280 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 214241280.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 675682 + ... + 675998.

Almost surely, 2^214241280 is an apocalyptic number.

214241280 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 214241280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375082272).

214241280 is an abundant number, since it is smaller than the sum of its proper divisors (535923264).

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

214241280 is a wasteful number, since it uses less digits than its factorization.

214241280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 214241280 is about 14636.9832957478. The cubic root of 214241280 is about 598.3671157351.

Adding to 214241280 its reverse (82142412), we get a palindrome (296383692).

The spelling of 214241280 in words is "two hundred fourteen million, two hundred forty-one thousand, two hundred eighty".