6480400 has 60 divisors (see below), whose sum is σ = 16502292. Its totient is φ = 2437120.

The previous prime is 6480389. The next prime is 6480403. The reversal of 6480400 is 40846.

It can be written as a sum of positive squares in 6 ways, for example, as 8464 + 6471936 = 92^2 + 2544^2 .

It is not an unprimeable number, because it can be changed into a prime (6480403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6324 + ... + 7276.

Almost surely, 2^6480400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6480400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8251146).

6480400 is an abundant number, since it is smaller than the sum of its proper divisors (10021892).

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

6480400 is a wasteful number, since it uses less digits than its factorization.

6480400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 988 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 6480400 is about 2545.6629784793. The cubic root of 6480400 is about 186.4377863678.

The spelling of 6480400 in words is "six million, four hundred eighty thousand, four hundred".