6393456 has 60 divisors (see below), whose sum is σ = 18521880. Its totient is φ = 2056320.

The previous prime is 6393449. The next prime is 6393461. The reversal of 6393456 is 6543936.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 6393456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3411 + ... + 4941.

It is an arithmetic number, because the mean of its divisors is an integer number (308698).

Almost surely, 2^6393456 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 6393456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9260940).

6393456 is an abundant number, since it is smaller than the sum of its proper divisors (12128424).

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

6393456 is a wasteful number, since it uses less digits than its factorization.

6393456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1574 (or 1565 counting only the distinct ones).

The product of its digits is 58320, while the sum is 36.

The square root of 6393456 is about 2528.5284257845. The cubic root of 6393456 is about 185.6002514364.

It can be divided in two parts, 639 and 3456, that added together give a triangular number (4095 = T₉₀).

The spelling of 6393456 in words is "six million, three hundred ninety-three thousand, four hundred fifty-six".