6360480 has 144 divisors (see below), whose sum is σ = 24845184. Its totient is φ = 1451520.

The previous prime is 6360469. The next prime is 6360503. The reversal of 6360480 is 840636.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9765 + ... + 10395.

It is an arithmetic number, because the mean of its divisors is an integer number (172536).

Almost surely, 2^6360480 is an apocalyptic number.

6360480 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 6360480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12422592).

6360480 is an abundant number, since it is smaller than the sum of its proper divisors (18484704).

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

6360480 is a wasteful number, since it uses less digits than its factorization.

6360480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659 (or 648 counting only the distinct ones).

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

The square root of 6360480 is about 2521.9992069785. Note that the first 3 decimals coincide. The cubic root of 6360480 is about 185.2806065467.

The spelling of 6360480 in words is "six million, three hundred sixty thousand, four hundred eighty".