214118400 has 312 divisors, whose sum is σ = 767857104. Its totient is φ = 52428800.

The previous prime is 214118393. The next prime is 214118413. The reversal of 214118400 is 4811412.

It is a happy number.

It is a nialpdrome in base 16.

It is a zygodrome in base 2 and base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5222380 + ... + 5222420.

Almost surely, 2^214118400 is an apocalyptic number.

214118400 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 214118400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383928552).

214118400 is an abundant number, since it is smaller than the sum of its proper divisors (553738704).

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

214118400 is a wasteful number, since it uses less digits than its factorization.

214118400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 214118400 is about 14632.7851074223. The cubic root of 214118400 is about 598.2526942550.

Adding to 214118400 its reverse (4811412), we get a palindrome (218929812).

The spelling of 214118400 in words is "two hundred fourteen million, one hundred eighteen thousand, four hundred".