6452000 has 48 divisors (see below), whose sum is σ = 15862392. Its totient is φ = 2579200.

The previous prime is 6451997. The next prime is 6452011. The reversal of 6452000 is 2546.

It can be written as a sum of positive squares in 4 ways, for example, as 2274064 + 4177936 = 1508^2 + 2044^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 6452000.

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, 3194 + ... + 4806.

Almost surely, 2^6452000 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 6452000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7931196).

6452000 is an abundant number, since it is smaller than the sum of its proper divisors (9410392).

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

6452000 is a wasteful number, since it uses less digits than its factorization.

6452000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1638 (or 1620 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 6452000 is about 2540.0787389370. The cubic root of 6452000 is about 186.1650363939.

Adding to 6452000 its reverse (2546), we get a palindrome (6454546).

The spelling of 6452000 in words is "six million, four hundred fifty-two thousand".