214480 has 40 divisors (see below), whose sum is σ = 571392. Its totient is φ = 73344.

The previous prime is 214469. The next prime is 214481. The reversal of 214480 is 84412.

214480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214481) by changing a digit.

214480 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 369 + ... + 751.

2²¹⁴⁴⁸⁰ is an apocalyptic number.

214480 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 214480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285696).

214480 is an abundant number, since it is smaller than the sum of its proper divisors (356912).

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

214480 is a wasteful number, since it uses less digits than its factorization.

214480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 214480 is about 463.1198548972. The cubic root of 214480 is about 59.8589278299.

Adding to 214480 its reverse (84412), we get a palindrome (298892).

The spelling of 214480 in words is "two hundred fourteen thousand, four hundred eighty".