214420320 has 288 divisors, whose sum is σ = 817296480. Its totient is φ = 50872320.

The previous prime is 214420309. The next prime is 214420321. The reversal of 214420320 is 23024412.

214420320 is a `hidden beast` number, since 214 + 420 + 32 + 0 = 666.

214420320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 214420293 and 214420302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214420321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 464890 + ... + 465350.

It is an arithmetic number, because the mean of its divisors is an integer number (2837835).

Almost surely, 2^214420320 is an apocalyptic number.

214420320 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 214420320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408648240).

214420320 is an abundant number, since it is smaller than the sum of its proper divisors (602876160).

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

214420320 is a wasteful number, since it uses less digits than its factorization.

214420320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 507 counting only the distinct ones).

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

The square root of 214420320 is about 14643.0980328618. The cubic root of 214420320 is about 598.5337531189.

Adding to 214420320 its reverse (23024412), we get a palindrome (237444732).

The spelling of 214420320 in words is "two hundred fourteen million, four hundred twenty thousand, three hundred twenty".