214344000 has 336 divisors, whose sum is σ = 829330320. Its totient is φ = 52531200.

The previous prime is 214343993. The next prime is 214344019. The reversal of 214344000 is 443412.

It can be written as a sum of positive squares in 8 ways, for example, as 56791296 + 157552704 = 7536^2 + 12552^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 935886 + ... + 936114.

It is an arithmetic number, because the mean of its divisors is an integer number (2468245).

Almost surely, 2^214344000 is an apocalyptic number.

214344000 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 214344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414665160).

214344000 is an abundant number, since it is smaller than the sum of its proper divisors (614986320).

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

214344000 is a wasteful number, since it uses less digits than its factorization.

214344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 214344000 is about 14640.4917950184. The cubic root of 214344000 is about 598.4627313724.

Adding to 214344000 its reverse (443412), we get a palindrome (214787412).

The spelling of 214344000 in words is "two hundred fourteen million, three hundred forty-four thousand".