214014400 has 84 divisors (see below), whose sum is σ = 530235160. Its totient is φ = 85017600.

The previous prime is 214014389. The next prime is 214014407. The reversal of 214014400 is 4410412.

214014400 is digitally balanced in base 3, 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 (16).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214014407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 289231 + ... + 289969.

Almost surely, 2^214014400 is an apocalyptic number.

214014400 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 214014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265117580).

214014400 is an abundant number, since it is smaller than the sum of its proper divisors (316220760).

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

214014400 is a wasteful number, since it uses less digits than its factorization.

214014400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 942 (or 927 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 214014400 is about 14629.2310119158. The cubic root of 214014400 is about 598.1558189494.

Adding to 214014400 its reverse (4410412), we get a palindrome (218424812).

The spelling of 214014400 in words is "two hundred fourteen million, fourteen thousand, four hundred".