214876200 has 192 divisors, whose sum is σ = 830661120. Its totient is φ = 44640000.

The previous prime is 214876199. The next prime is 214876201. The reversal of 214876200 is 2678412.

It is an interprime number because it is at equal distance from previous prime (214876199) and next prime (214876201).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214876201) 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, 43875 + ... + 48525.

It is an arithmetic number, because the mean of its divisors is an integer number (4326360).

Almost surely, 2^214876200 is an apocalyptic number.

214876200 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 214876200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415330560).

214876200 is an abundant number, since it is smaller than the sum of its proper divisors (615784920).

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

214876200 is a wasteful number, since it uses less digits than its factorization.

214876200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4688 (or 4679 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 214876200 is about 14658.6561457727. The cubic root of 214876200 is about 598.9576346171.

The spelling of 214876200 in words is "two hundred fourteen million, eight hundred seventy-six thousand, two hundred".