214430420 has 24 divisors (see below), whose sum is σ = 450787848. Its totient is φ = 85680000.

The previous prime is 214430413. The next prime is 214430423. The reversal of 214430420 is 24034412.

It can be written as a sum of positive squares in 4 ways, for example, as 13868176 + 200562244 = 3724^2 + 14162^2 .

It is a Smith number, since the sum of its digits (20) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 214430392 and 214430401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214430423) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15170 + ... + 25670.

It is an arithmetic number, because the mean of its divisors is an integer number (18782827).

Almost surely, 2^214430420 is an apocalyptic number.

214430420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214430420 is an abundant number, since it is smaller than the sum of its proper divisors (236357428).

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

214430420 is a wasteful number, since it uses less digits than its factorization.

214430420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11531 (or 11529 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 214430420 is about 14643.4429011759. The cubic root of 214430420 is about 598.5431506984.

Adding to 214430420 its reverse (24034412), we get a palindrome (238464832).

The spelling of 214430420 in words is "two hundred fourteen million, four hundred thirty thousand, four hundred twenty".