214314420 has 48 divisors (see below), whose sum is σ = 603929088. Its totient is φ = 56784000.

The previous prime is 214314389. The next prime is 214314431. The reversal of 214314420 is 24413412.

214314420 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1956 + ... + 20795.

It is an arithmetic number, because the mean of its divisors is an integer number (12581856).

Almost surely, 2^214314420 is an apocalyptic number.

214314420 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 214314420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301964544).

214314420 is an abundant number, since it is smaller than the sum of its proper divisors (389614668).

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

214314420 is a wasteful number, since it uses less digits than its factorization.

214314420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22920 (or 22918 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 214314420 is about 14639.4815481970. The cubic root of 214314420 is about 598.4352003288.

Adding to 214314420 its reverse (24413412), we get a palindrome (238727832).

The spelling of 214314420 in words is "two hundred fourteen million, three hundred fourteen thousand, four hundred twenty".