4214000 has 120 divisors (see below), whose sum is σ = 12128688. Its totient is φ = 1411200.

The previous prime is 4213999. The next prime is 4214003. The reversal of 4214000 is 4124.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4214003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97979 + ... + 98021.

Almost surely, 2^4214000 is an apocalyptic number.

4214000 is a gapful number since it is divisible by the number (40) 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 4214000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6064344).

4214000 is an abundant number, since it is smaller than the sum of its proper divisors (7914688).

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

4214000 is a wasteful number, since it uses less digits than its factorization.

4214000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 57 counting only the distinct ones).

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

The square root of 4214000 is about 2052.8029618061. The cubic root of 4214000 is about 161.5219356313.

Adding to 4214000 its reverse (4124), we get a palindrome (4218124).

The spelling of 4214000 in words is "four million, two hundred fourteen thousand".