6330480 has 80 divisors (see below), whose sum is σ = 21144480. Its totient is φ = 1557504.

The previous prime is 6330473. The next prime is 6330491. The reversal of 6330480 is 840336.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 6330480.

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, 2106 + ... + 4134.

It is an arithmetic number, because the mean of its divisors is an integer number (264306).

Almost surely, 2^6330480 is an apocalyptic number.

6330480 is a gapful number since it is divisible by the number (60) 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 6330480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10572240).

6330480 is an abundant number, since it is smaller than the sum of its proper divisors (14814000).

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

6330480 is a wasteful number, since it uses less digits than its factorization.

6330480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2058 (or 2052 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 6330480 is about 2516.0445147095. The cubic root of 6330480 is about 184.9888476355.

The spelling of 6330480 in words is "six million, three hundred thirty thousand, four hundred eighty".