4657296 has 80 divisors (see below), whose sum is σ = 13999104. Its totient is φ = 1306752.

The previous prime is 4657291. The next prime is 4657297. The reversal of 4657296 is 6927564.

4657296 is nontrivially palindromic in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4657291) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 27805 + ... + 27971.

Almost surely, 2^4657296 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 4657296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6999552).

4657296 is an abundant number, since it is smaller than the sum of its proper divisors (9341808).

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

4657296 is a wasteful number, since it uses less digits than its factorization.

4657296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 262 counting only the distinct ones).

The product of its digits is 90720, while the sum is 39.

The square root of 4657296 is about 2158.0769217060. The cubic root of 4657296 is about 166.9980039682.

The spelling of 4657296 in words is "four million, six hundred fifty-seven thousand, two hundred ninety-six".