214412000 has 144 divisors (see below), whose sum is σ = 580363056. Its totient is φ = 77792000.

The previous prime is 214411969. The next prime is 214412039. The reversal of 214412000 is 214412.

214412000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 483779 + ... + 484221.

It is an arithmetic number, because the mean of its divisors is an integer number (4030299).

Almost surely, 2^214412000 is an apocalyptic number.

214412000 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 214412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290181528).

214412000 is an abundant number, since it is smaller than the sum of its proper divisors (365951056).

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

214412000 is a wasteful number, since it uses less digits than its factorization.

214412000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 214412000 is about 14642.8139372185. The cubic root of 214412000 is about 598.5260115248.

Adding to 214412000 its reverse (214412), we get a palindrome (214626412).

214412000 divided by its reverse (214412) gives a cube (1000 = 10³).

It can be divided in two parts, 214 and 412000, that added together give a palindrome (412214).

The spelling of 214412000 in words is "two hundred fourteen million, four hundred twelve thousand".