214944000 has 144 divisors (see below), whose sum is σ = 714255360. Its totient is φ = 57292800.

The previous prime is 214943999. The next prime is 214944001. The reversal of 214944000 is 449412.

It is an interprime number because it is at equal distance from previous prime (214943999) and next prime (214944001).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (214944001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94881 + ... + 97119.

Almost surely, 2^214944000 is an apocalyptic number.

214944000 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 214944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357127680).

214944000 is an abundant number, since it is smaller than the sum of its proper divisors (499311360).

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

214944000 is an equidigital number, since it uses as much as digits as its factorization.

214944000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2273 (or 2249 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 214944000 is about 14660.9685901035. The cubic root of 214944000 is about 599.0206244646.

The spelling of 214944000 in words is "two hundred fourteen million, nine hundred forty-four thousand".