214425420 has 192 divisors, whose sum is σ = 718502400. Its totient is φ = 47165440.

The previous prime is 214425401. The next prime is 214425433. The reversal of 214425420 is 24524412.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 325051 + ... + 325709.

It is an arithmetic number, because the mean of its divisors is an integer number (3742200).

Almost surely, 2^214425420 is an apocalyptic number.

214425420 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 214425420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359251200).

214425420 is an abundant number, since it is smaller than the sum of its proper divisors (504076980).

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

214425420 is a wasteful number, since it uses less digits than its factorization.

214425420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 214425420 is about 14643.2721753029. The cubic root of 214425420 is about 598.5384984682.

Adding to 214425420 its reverse (24524412), we get a palindrome (238949832).

It can be divided in two parts, 21442 and 5420, that added together give a palindrome (26862).

The spelling of 214425420 in words is "two hundred fourteen million, four hundred twenty-five thousand, four hundred twenty".