6486480 has 400 divisors, whose sum is σ = 30248064. Its totient is φ = 1244160.

The previous prime is 6486479. The next prime is 6486499. The reversal of 6486480 is 846846.

6486480 is a `hidden beast` number, since 6 + 4 + 8 + 648 + 0 = 666.

6486480 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 498954 + ... + 498966.

6486480 is a highly composite number, because it has more divisors than any smaller number.

Almost surely, 2^6486480 is an apocalyptic number.

6486480 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 6486480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15124032).

6486480 is an abundant number, since it is smaller than the sum of its proper divisors (23761584).

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

6486480 is a wasteful number, since it uses less digits than its factorization.

6486480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 6486480 is about 2546.8568864387. The cubic root of 6486480 is about 186.4960743040.

The spelling of 6486480 in words is "six million, four hundred eighty-six thousand, four hundred eighty".