6456330 has 48 divisors (see below), whose sum is σ = 17521920. Its totient is φ = 1646304.

The previous prime is 6456323. The next prime is 6456337. The reversal of 6456330 is 336546.

It is an interprime number because it is at equal distance from previous prime (6456323) and next prime (6456337).

It is a junction number, because it is equal to n+sod(n) for n = 6456294 and 6456303.

It is not an unprimeable number, because it can be changed into a prime (6456337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 511 + ... + 3629.

It is an arithmetic number, because the mean of its divisors is an integer number (365040).

Almost surely, 2^6456330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6456330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8760960).

6456330 is an abundant number, since it is smaller than the sum of its proper divisors (11065590).

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

6456330 is a wasteful number, since it uses less digits than its factorization.

6456330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3155 (or 3152 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 6456330 is about 2540.9309317650. The cubic root of 6456330 is about 186.2066728038.

It can be divided in two parts, 6456 and 330, that added together give a triangular number (6786 = T₁₁₆).

The spelling of 6456330 in words is "six million, four hundred fifty-six thousand, three hundred thirty".