214004000 has 96 divisors (see below), whose sum is σ = 601001856. Its totient is φ = 73363200.

The previous prime is 214003981. The next prime is 214004009. The reversal of 214004000 is 400412.

It is a nialpdrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (214004009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24179 + ... + 31821.

It is an arithmetic number, because the mean of its divisors is an integer number (6260436).

Almost surely, 2^214004000 is an apocalyptic number.

214004000 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 214004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300500928).

214004000 is an abundant number, since it is smaller than the sum of its proper divisors (386997856).

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

214004000 is an equidigital number, since it uses as much as digits as its factorization.

214004000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7675 (or 7657 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 214004000 is about 14628.8755548743. The cubic root of 214004000 is about 598.1461296928.

Adding to 214004000 its reverse (400412), we get a palindrome (214404412).

The spelling of 214004000 in words is "two hundred fourteen million, four thousand".