6413000 has 96 divisors (see below), whose sum is σ = 16805880. Its totient is φ = 2288000.

The previous prime is 6412999. The next prime is 6413003. The reversal of 6413000 is 3146.

It can be written as a sum of positive squares in 4 ways, for example, as 2579236 + 3833764 = 1606^2 + 1958^2 .

It is a super-2 number, since 2×6413000² = 82253138000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6413003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 120974 + ... + 121026.

Almost surely, 2^6413000 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 6413000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8402940).

6413000 is an abundant number, since it is smaller than the sum of its proper divisors (10392880).

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

6413000 is a wasteful number, since it uses less digits than its factorization.

6413000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 6413000 is about 2532.3901753087. The cubic root of 6413000 is about 185.7891780221.

Adding to 6413000 its reverse (3146), we get a palindrome (6416146).

The spelling of 6413000 in words is "six million, four hundred thirteen thousand".