214055400 has 144 divisors (see below), whose sum is σ = 718882560. Its totient is φ = 52665600.

The previous prime is 214055389. The next prime is 214055417. The reversal of 214055400 is 4550412.

214055400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 35 ways as a sum of consecutive naturals, for example, 100345 + ... + 102455.

It is an arithmetic number, because the mean of its divisors is an integer number (4992240).

Almost surely, 2^214055400 is an apocalyptic number.

214055400 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 214055400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359441280).

214055400 is an abundant number, since it is smaller than the sum of its proper divisors (504827160).

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

214055400 is a wasteful number, since it uses less digits than its factorization.

214055400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2156 (or 2134 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 214055400 is about 14630.6322488128. The cubic root of 214055400 is about 598.1940139223.

The spelling of 214055400 in words is "two hundred fourteen million, fifty-five thousand, four hundred".