214044000 has 96 divisors (see below), whose sum is σ = 701247456. Its totient is φ = 57075200.

The previous prime is 214043989. The next prime is 214044011. The reversal of 214044000 is 440412.

It is an interprime number because it is at equal distance from previous prime (214043989) and next prime (214044011).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3082 + ... + 20918.

It is an arithmetic number, because the mean of its divisors is an integer number (7304661).

Almost surely, 2^214044000 is an apocalyptic number.

214044000 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 214044000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350623728).

214044000 is an abundant number, since it is smaller than the sum of its proper divisors (487203456).

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

214044000 is a wasteful number, since it uses less digits than its factorization.

214044000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17865 (or 17847 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 214044000 is about 14630.2426500725. The cubic root of 214044000 is about 598.1833943462.

Adding to 214044000 its reverse (440412), we get a palindrome (214484412).

The spelling of 214044000 in words is "two hundred fourteen million, forty-four thousand".