6409830 has 64 divisors (see below), whose sum is σ = 17791488. Its totient is φ = 1447680.

The previous prime is 6409807. The next prime is 6409849. The reversal of 6409830 is 389046.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a plaindrome in base 11.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27394 + ... + 27626.

It is an arithmetic number, because the mean of its divisors is an integer number (277992).

Almost surely, 2^6409830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6409830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8895744).

6409830 is an abundant number, since it is smaller than the sum of its proper divisors (11381658).

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

6409830 is a wasteful number, since it uses less digits than its factorization.

6409830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381.

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 6409830 is about 2531.7642070303. The cubic root of 6409830 is about 185.7585605907.

The spelling of 6409830 in words is "six million, four hundred nine thousand, eight hundred thirty".