6409312 has 96 divisors (see below), whose sum is σ = 16257024. Its totient is φ = 2419200.

The previous prime is 6409307. The next prime is 6409321. The reversal of 6409312 is 2139046.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90237 + ... + 90307.

It is an arithmetic number, because the mean of its divisors is an integer number (169344).

Almost surely, 2^6409312 is an apocalyptic number.

6409312 is a gapful number since it is divisible by the number (62) 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 6409312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8128512).

6409312 is an abundant number, since it is smaller than the sum of its proper divisors (9847712).

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

6409312 is a wasteful number, since it uses less digits than its factorization.

6409312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 6409312 is about 2531.6619047574. The cubic root of 6409312 is about 185.7535565304.

The spelling of 6409312 in words is "six million, four hundred nine thousand, three hundred twelve".