214326000 has 480 divisors, whose sum is σ = 904138560. Its totient is φ = 48988800.

The previous prime is 214325981. The next prime is 214326017. The reversal of 214326000 is 623412.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

214326000 is a `hidden beast` number, since 21 + 43 + 2 + 600 + 0 = 666.

214326000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 95 ways as a sum of consecutive naturals, for example, 30617997 + ... + 30618003.

It is an arithmetic number, because the mean of its divisors is an integer number (1883622).

Almost surely, 2^214326000 is an apocalyptic number.

214326000 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 214326000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452069280).

214326000 is an abundant number, since it is smaller than the sum of its proper divisors (689812560).

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

214326000 is an frugal number, since it uses more digits than its factorization.

214326000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 214326000 is about 14639.8770486640. The cubic root of 214326000 is about 598.4459785036.

Adding to 214326000 its reverse (623412), we get a palindrome (214949412).

The spelling of 214326000 in words is "two hundred fourteen million, three hundred twenty-six thousand".