4194000 has 120 divisors (see below), whose sum is σ = 14711112. Its totient is φ = 1113600.

The previous prime is 4193977. The next prime is 4194007. The reversal of 4194000 is 4914.

It can be written as a sum of positive squares in 4 ways, for example, as 553536 + 3640464 = 744^2 + 1908^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4194007) 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, 17884 + ... + 18116.

Almost surely, 2^4194000 is an apocalyptic number.

4194000 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 4194000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7355556).

4194000 is an abundant number, since it is smaller than the sum of its proper divisors (10517112).

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

4194000 is a wasteful number, since it uses less digits than its factorization.

4194000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 4194000 is about 2047.9257799051. The cubic root of 4194000 is about 161.2659980522.

Adding to 4194000 its reverse (4914), we get a palindrome (4198914).

The spelling of 4194000 in words is "four million, one hundred ninety-four thousand".