214514400 has 72 divisors (see below), whose sum is σ = 698252184. Its totient is φ = 57203200.

The previous prime is 214514393. The next prime is 214514423. The reversal of 214514400 is 4415412.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42291 + ... + 47090.

It is an arithmetic number, because the mean of its divisors is an integer number (9697947).

Almost surely, 2^214514400 is an apocalyptic number.

214514400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214514400 is an abundant number, since it is smaller than the sum of its proper divisors (483737784).

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

214514400 is a wasteful number, since it uses less digits than its factorization.

214514400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89404 (or 89391 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 214514400 is about 14646.3101155206. The cubic root of 214514400 is about 598.6212787506.

Adding to 214514400 its reverse (4415412), we get a palindrome (218929812).

The spelling of 214514400 in words is "two hundred fourteen million, five hundred fourteen thousand, four hundred".