6472784 has 40 divisors (see below), whose sum is σ = 13559400. Its totient is φ = 2981888.

The previous prime is 6472783. The next prime is 6472789. The reversal of 6472784 is 4872746.

It can be written as a sum of positive squares in 4 ways, for example, as 2755600 + 3717184 = 1660^2 + 1928^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6472783) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14192 + ... + 14640.

It is an arithmetic number, because the mean of its divisors is an integer number (338985).

Almost surely, 2^6472784 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 6472784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6779700).

6472784 is an abundant number, since it is smaller than the sum of its proper divisors (7086616).

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

6472784 is a wasteful number, since it uses less digits than its factorization.

6472784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527 (or 521 counting only the distinct ones).

The product of its digits is 75264, while the sum is 38.

The square root of 6472784 is about 2544.1666612076. The cubic root of 6472784 is about 186.3647215988.

Subtracting from 6472784 its sum of digits (38), we obtain a palindrome (6472746).

The spelling of 6472784 in words is "six million, four hundred seventy-two thousand, seven hundred eighty-four".