214639200 has 288 divisors, whose sum is σ = 818697600. Its totient is φ = 54120960.

The previous prime is 214639153. The next prime is 214639207. The reversal of 214639200 is 2936412.

214639200 is a `hidden beast` number, since 2 + 1 + 4 + 639 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214639207) 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 47 ways as a sum of consecutive naturals, for example, 410139 + ... + 410661.

It is an arithmetic number, because the mean of its divisors is an integer number (2842700).

Almost surely, 2^214639200 is an apocalyptic number.

214639200 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 214639200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409348800).

214639200 is an abundant number, since it is smaller than the sum of its proper divisors (604058400).

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

214639200 is a wasteful number, since it uses less digits than its factorization.

214639200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 214639200 is about 14650.5699547833. The cubic root of 214639200 is about 598.7373446999.

The spelling of 214639200 in words is "two hundred fourteen million, six hundred thirty-nine thousand, two hundred".