214874800 has 180 divisors, whose sum is σ = 633222120. Its totient is φ = 69672960.

The previous prime is 214874791. The next prime is 214874831. The reversal of 214874800 is 8478412.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 372112 + ... + 372688.

Almost surely, 2^214874800 is an apocalyptic number.

214874800 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 214874800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316611060).

214874800 is an abundant number, since it is smaller than the sum of its proper divisors (418347320).

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

214874800 is a wasteful number, since it uses less digits than its factorization.

214874800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 34.

The square root of 214874800 is about 14658.6083923407. The cubic root of 214874800 is about 598.9563338022.

The spelling of 214874800 in words is "two hundred fourteen million, eight hundred seventy-four thousand, eight hundred".