214541280 has 144 divisors (see below), whose sum is σ = 735920640. Its totient is φ = 56914944.

The previous prime is 214541269. The next prime is 214541311. The reversal of 214541280 is 82145412.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 551326 + ... + 551714.

It is an arithmetic number, because the mean of its divisors is an integer number (5110560).

Almost surely, 2^214541280 is an apocalyptic number.

214541280 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 214541280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367960320).

214541280 is an abundant number, since it is smaller than the sum of its proper divisors (521379360).

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

214541280 is a wasteful number, since it uses less digits than its factorization.

214541280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 214541280 is about 14647.2277240439. The cubic root of 214541280 is about 598.6462813735.

Adding to 214541280 its reverse (82145412), we get a palindrome (296686692).

The spelling of 214541280 in words is "two hundred fourteen million, five hundred forty-one thousand, two hundred eighty".