214605000 has 240 divisors, whose sum is σ = 767566800. Its totient is φ = 54000000.

The previous prime is 214604989. The next prime is 214605037. The reversal of 214605000 is 506412.

It is a happy number.

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

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 59 ways as a sum of consecutive naturals, for example, 854875 + ... + 855125.

It is an arithmetic number, because the mean of its divisors is an integer number (3198195).

Almost surely, 2^214605000 is an apocalyptic number.

214605000 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 214605000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383783400).

214605000 is an abundant number, since it is smaller than the sum of its proper divisors (552961800).

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

214605000 is a wasteful number, since it uses less digits than its factorization.

214605000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 214605000 is about 14649.4027181998. The cubic root of 214605000 is about 598.7055426419.

The spelling of 214605000 in words is "two hundred fourteen million, six hundred five thousand".