214430400 has 126 divisors (see below), whose sum is σ = 762187452. Its totient is φ = 57177600.

The previous prime is 214430399. The next prime is 214430407. The reversal of 214430400 is 4034412.

214430400 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).

It is not an unprimeable number, because it can be changed into a prime (214430407) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6955 + ... + 21845.

Almost surely, 2^214430400 is an apocalyptic number.

214430400 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 214430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381093726).

214430400 is an abundant number, since it is smaller than the sum of its proper divisors (547757052).

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

214430400 is a wasteful number, since it uses less digits than its factorization.

214430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14919 (or 14901 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 214430400 is about 14643.4422182764. The cubic root of 214430400 is about 598.5431320896.

Adding to 214430400 its reverse (4034412), we get a palindrome (218464812).

The spelling of 214430400 in words is "two hundred fourteen million, four hundred thirty thousand, four hundred".