6504480 has 72 divisors (see below), whose sum is σ = 22201452. Its totient is φ = 1734144.

The previous prime is 6504467. The next prime is 6504493. The reversal of 6504480 is 844056.

6504480 is a `hidden beast` number, since 650 + 4 + 4 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6504467) and next prime (6504493).

It can be written as a sum of positive squares in 2 ways, for example, as 5363856 + 1140624 = 2316^2 + 1068^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 11 ways as a sum of consecutive naturals, for example, 819 + ... + 3698.

Almost surely, 2^6504480 is an apocalyptic number.

6504480 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 6504480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11100726).

6504480 is an abundant number, since it is smaller than the sum of its proper divisors (15696972).

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

6504480 is a wasteful number, since it uses less digits than its factorization.

6504480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4538 (or 4527 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 6504480 is about 2550.3882057444. The cubic root of 6504480 is about 186.6684240197.

The spelling of 6504480 in words is "six million, five hundred four thousand, four hundred eighty".