6480900 has 108 divisors (see below), whose sum is σ = 21439600. Its totient is φ = 1632960.

The previous prime is 6480869. The next prime is 6480907. The reversal of 6480900 is 90846.

6480900 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (6480907) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 16911 + ... + 17289.

Almost surely, 2^6480900 is an apocalyptic number.

6480900 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 6480900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10719800).

6480900 is an abundant number, since it is smaller than the sum of its proper divisors (14958700).

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

6480900 is a wasteful number, since it uses less digits than its factorization.

6480900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 6480900 is about 2545.7611828292. The cubic root of 6480900 is about 186.4425811591.

It can be divided in two parts, 6480 and 900, that multiplied together give a cube (5832000 = 180³).

The spelling of 6480900 in words is "six million, four hundred eighty thousand, nine hundred".