214280 has 32 divisors (see below), whose sum is σ = 527040. Its totient is φ = 77760.

The previous prime is 214259. The next prime is 214283. The reversal of 214280 is 82412.

214280 = T₂₁ + T₂₂ + ... + T₁₀₈.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 214280.

It is not an unprimeable number, because it can be changed into a prime (214283) 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, 197 + ... + 683.

It is an arithmetic number, because the mean of its divisors is an integer number (16470).

2²¹⁴²⁸⁰ is an apocalyptic number.

214280 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 214280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263520).

214280 is an abundant number, since it is smaller than the sum of its proper divisors (312760).

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

214280 is a wasteful number, since it uses less digits than its factorization.

214280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 214280 is about 462.9038777111. The cubic root of 214280 is about 59.8403161355.

Adding to 214280 its reverse (82412), we get a palindrome (296692).

It can be divided in two parts, 2142 and 80, that added together give a palindrome (2222).

The spelling of 214280 in words is "two hundred fourteen thousand, two hundred eighty".