214405200 has 90 divisors (see below), whose sum is σ = 744058094. Its totient is φ = 57173760.

The previous prime is 214405171. The next prime is 214405201. The reversal of 214405200 is 2504412.

214405200 is a `hidden beast` number, since 2 + 144 + 0 + 520 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 2178576 + 212226624 = 1476^2 + 14568^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214405201) 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 17 ways as a sum of consecutive naturals, for example, 26179 + ... + 33378.

Almost surely, 2^214405200 is an apocalyptic number.

214405200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214405200 is an abundant number, since it is smaller than the sum of its proper divisors (529652894).

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

214405200 is a wasteful number, since it uses less digits than its factorization.

214405200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59581 (or 59567 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 214405200 is about 14642.5817395704. The cubic root of 214405200 is about 598.5196841117.

Adding to 214405200 its reverse (2504412), we get a palindrome (216909612).

The spelling of 214405200 in words is "two hundred fourteen million, four hundred five thousand, two hundred".