214708000 has 96 divisors (see below), whose sum is σ = 568254960. Its totient is φ = 79257600.

The previous prime is 214707989. The next prime is 214708007. The reversal of 214708000 is 807412.

It can be written as a sum of positive squares in 8 ways, for example, as 26896 + 214681104 = 164^2 + 14652^2 .

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (214708007) 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, 49936 + ... + 54064.

Almost surely, 2^214708000 is an apocalyptic number.

214708000 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 214708000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284127480).

214708000 is an abundant number, since it is smaller than the sum of its proper divisors (353546960).

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

214708000 is a wasteful number, since it uses less digits than its factorization.

214708000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4167 (or 4149 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 22.

The square root of 214708000 is about 14652.9177981725. The cubic root of 214708000 is about 598.8013105378.

The spelling of 214708000 in words is "two hundred fourteen million, seven hundred eight thousand".