214464 has 28 divisors (see below), whose sum is σ = 567944. Its totient is φ = 71424.

The previous prime is 214463. The next prime is 214469. The reversal of 214464 is 464412.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 214464.

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 214464.

It is not an unprimeable number, because it can be changed into a prime (214463) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 367 + ... + 750.

2²¹⁴⁴⁶⁴ is an apocalyptic number.

214464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

214464 is an abundant number, since it is smaller than the sum of its proper divisors (353480).

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

214464 is a wasteful number, since it uses less digits than its factorization.

214464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1132 (or 1122 counting only the distinct ones).

The product of its digits is 768, while the sum is 21.

The square root of 214464 is about 463.1025804290. The cubic root of 214464 is about 59.8574393203.

Adding to 214464 its reverse (464412), we get a palindrome (678876).

The spelling of 214464 in words is "two hundred fourteen thousand, four hundred sixty-four".