6434000 has 40 divisors (see below), whose sum is σ = 15562248. Its totient is φ = 2572800.

The previous prime is 6433991. The next prime is 6434011. The reversal of 6434000 is 4346.

It can be written as a sum of positive squares in 4 ways, for example, as 2704 + 6431296 = 52^2 + 2536^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 6434000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 392 + ... + 3608.

Almost surely, 2^6434000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6434000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7781124).

6434000 is an abundant number, since it is smaller than the sum of its proper divisors (9128248).

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

6434000 is a wasteful number, since it uses less digits than its factorization.

6434000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3240 (or 3224 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 6434000 is about 2536.5330670031. The cubic root of 6434000 is about 185.9917520527.

Adding to 6434000 its reverse (4346), we get a palindrome (6438346).

The spelling of 6434000 in words is "six million, four hundred thirty-four thousand".