4657472 has 28 divisors (see below), whose sum is σ = 9401556. Its totient is φ = 2288640.

The previous prime is 4657453. The next prime is 4657493. The reversal of 4657472 is 2747564.

It can be written as a sum of positive squares in 2 ways, for example, as 1032256 + 3625216 = 1016^2 + 1904^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3308 + ... + 4500.

Almost surely, 2^4657472 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 4657472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4700778).

4657472 is an abundant number, since it is smaller than the sum of its proper divisors (4744084).

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

4657472 is a wasteful number, since it uses less digits than its factorization.

4657472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1266 (or 1256 counting only the distinct ones).

The product of its digits is 47040, while the sum is 35.

The square root of 4657472 is about 2158.1176983659. The cubic root of 4657472 is about 167.0001075692. Note that the first 3 decimals are identical.

The spelling of 4657472 in words is "four million, six hundred fifty-seven thousand, four hundred seventy-two".