4314000 has 80 divisors (see below), whose sum is σ = 13927680. Its totient is φ = 1148800.

The previous prime is 4313999. The next prime is 4314017. The reversal of 4314000 is 4134.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×4314000³ (a number of 21 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 5641 + ... + 6359.

It is an arithmetic number, because the mean of its divisors is an integer number (174096).

Almost surely, 2^4314000 is an apocalyptic number.

4314000 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 4314000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6963840).

4314000 is an abundant number, since it is smaller than the sum of its proper divisors (9613680).

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

4314000 is a wasteful number, since it uses less digits than its factorization.

4314000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 4314000 is about 2077.0170918892. The cubic root of 4314000 is about 162.7896215718.

Adding to 4314000 its reverse (4134), we get a palindrome (4318134).

The spelling of 4314000 in words is "four million, three hundred fourteen thousand".