6450480 has 180 divisors, whose sum is σ = 23754432. Its totient is φ = 1566720.

The previous prime is 6450467. The next prime is 6450487. The reversal of 6450480 is 840546.

6450480 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (180).

It is not an unprimeable number, because it can be changed into a prime (6450487) 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, 208065 + ... + 208095.

Almost surely, 2^6450480 is an apocalyptic number.

6450480 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 6450480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11877216).

6450480 is an abundant number, since it is smaller than the sum of its proper divisors (17303952).

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

6450480 is a wasteful number, since it uses less digits than its factorization.

6450480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 58 counting only the distinct ones).

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

The square root of 6450480 is about 2539.7795179897. The cubic root of 6450480 is about 186.1504159620.

The spelling of 6450480 in words is "six million, four hundred fifty thousand, four hundred eighty".