6509484 has 72 divisors (see below), whose sum is σ = 17621968. Its totient is φ = 2099520.

The previous prime is 6509449. The next prime is 6509491. The reversal of 6509484 is 4849056.

6509484 = 36³ + 37³ + ... + 72³.

6509484 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35874 + ... + 36054.

Almost surely, 2^6509484 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 6509484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8810984).

6509484 is an abundant number, since it is smaller than the sum of its proper divisors (11112484).

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

6509484 is a wasteful number, since it uses less digits than its factorization.

6509484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 6509484 is about 2551.3690442584. The cubic root of 6509484 is about 186.7162807462.

The spelling of 6509484 in words is "six million, five hundred nine thousand, four hundred eighty-four".