214005420 has 72 divisors (see below), whose sum is σ = 650810160. Its totient is φ = 56922240.

The previous prime is 214005359. The next prime is 214005427. The reversal of 214005420 is 24500412.

214005420 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).

214005420 is a modest number, since divided by 5420 gives 2140 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 214005393 and 214005402.

It is not an unprimeable number, because it can be changed into a prime (214005427) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81691 + ... + 84269.

It is an arithmetic number, because the mean of its divisors is an integer number (9039030).

Almost surely, 2^214005420 is an apocalyptic number.

214005420 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 214005420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325405080).

214005420 is an abundant number, since it is smaller than the sum of its proper divisors (436804740).

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

214005420 is a wasteful number, since it uses less digits than its factorization.

214005420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3055 (or 3050 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 214005420 is about 14628.9240889411. The cubic root of 214005420 is about 598.1474526675.

Adding to 214005420 its reverse (24500412), we get a palindrome (238505832).

The spelling of 214005420 in words is "two hundred fourteen million, five thousand, four hundred twenty".