6436480 has 64 divisors (see below), whose sum is σ = 15697800. Its totient is φ = 2523136.

The previous prime is 6436457. The next prime is 6436501. The reversal of 6436480 is 846346.

It can be written as a sum of positive squares in 4 ways, for example, as 2143296 + 4293184 = 1464^2 + 2072^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a plaindrome in base 13.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56904 + ... + 57016.

Almost surely, 2^6436480 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 6436480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7848900).

6436480 is an abundant number, since it is smaller than the sum of its proper divisors (9261320).

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

6436480 is a wasteful number, since it uses less digits than its factorization.

6436480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The square root of 6436480 is about 2537.0218761375. The cubic root of 6436480 is about 186.0156459649.

The spelling of 6436480 in words is "six million, four hundred thirty-six thousand, four hundred eighty".