219440 has 40 divisors (see below), whose sum is σ = 552048. Its totient is φ = 80640.

The previous prime is 219437. The next prime is 219451. The reversal of 219440 is 44912.

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

It is a Harshad number since it is a multiple of its sum of digits (20).

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 219440.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 935 + ... + 1145.

2²¹⁹⁴⁴⁰ is an apocalyptic number.

219440 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 219440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276024).

219440 is an abundant number, since it is smaller than the sum of its proper divisors (332608).

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

219440 is a wasteful number, since it uses less digits than its factorization.

219440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 219440 is about 468.4442336074. Note that the first 3 decimals coincide. The cubic root of 219440 is about 60.3168424214.

The spelling of 219440 in words is "two hundred nineteen thousand, four hundred forty".