214608420 has 192 divisors, whose sum is σ = 757344000. Its totient is φ = 50015232.

The previous prime is 214608379. The next prime is 214608421. The reversal of 214608420 is 24806412.

214608420 is a `hidden beast` number, since 2 + 14 + 608 + 42 + 0 = 666.

214608420 is digitally balanced in base 3, 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 (27).

It is not an unprimeable number, because it can be changed into a prime (214608421) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 132576 + ... + 134184.

It is an arithmetic number, because the mean of its divisors is an integer number (3944500).

Almost surely, 2^214608420 is an apocalyptic number.

214608420 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 214608420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378672000).

214608420 is an abundant number, since it is smaller than the sum of its proper divisors (542735580).

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

214608420 is a wasteful number, since it uses less digits than its factorization.

214608420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1659 (or 1651 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 214608420 is about 14649.5194460433. The cubic root of 214608420 is about 598.7087229998.

The spelling of 214608420 in words is "two hundred fourteen million, six hundred eight thousand, four hundred twenty".