214718400 has 504 divisors, whose sum is σ = 871305344. Its totient is φ = 49766400.

The previous prime is 214718389. The next prime is 214718401. The reversal of 214718400 is 4817412.

214718400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×214718400² = 92207982597120000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214718401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5803182 + ... + 5803218.

Almost surely, 2^214718400 is an apocalyptic number.

214718400 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 214718400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435652672).

214718400 is an abundant number, since it is smaller than the sum of its proper divisors (656586944).

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

214718400 is a wasteful number, since it uses less digits than its factorization.

214718400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 214718400 is about 14653.2726720006. The cubic root of 214718400 is about 598.8109786033.

The spelling of 214718400 in words is "two hundred fourteen million, seven hundred eighteen thousand, four hundred".