6306480 has 120 divisors (see below), whose sum is σ = 22342320. Its totient is φ = 1589760.

The previous prime is 6306479. The next prime is 6306481. The reversal of 6306480 is 846036.

It is an interprime number because it is at equal distance from previous prime (6306479) and next prime (6306481).

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6306481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13450 + ... + 13910.

It is an arithmetic number, because the mean of its divisors is an integer number (186186).

Almost surely, 2^6306480 is an apocalyptic number.

6306480 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 6306480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11171160).

6306480 is an abundant number, since it is smaller than the sum of its proper divisors (16035840).

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

6306480 is a wasteful number, since it uses less digits than its factorization.

6306480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 6306480 is about 2511.2705947388. The cubic root of 6306480 is about 184.7547761380.

It can be divided in two parts, 6306 and 480, that added together give a triangular number (6786 = T₁₁₆).

The spelling of 6306480 in words is "six million, three hundred six thousand, four hundred eighty".