4657224 has 128 divisors (see below), whose sum is σ = 14515200. Its totient is φ = 1224960.

The previous prime is 4657199. The next prime is 4657229. The reversal of 4657224 is 4227564.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a d-powerful number, because it can be written as 4⁵ + 6⁴ + 5⁸ + 7³ + 2¹⁶ + 2²² + 4⁶ .

It is a junction number, because it is equal to n+sod(n) for n = 4657191 and 4657200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4657229) 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 31 ways as a sum of consecutive naturals, for example, 78907 + ... + 78965.

It is an arithmetic number, because the mean of its divisors is an integer number (113400).

Almost surely, 2^4657224 is an apocalyptic number.

4657224 is a gapful number since it is divisible by the number (44) 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 4657224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7257600).

4657224 is an abundant number, since it is smaller than the sum of its proper divisors (9857976).

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

4657224 is a wasteful number, since it uses less digits than its factorization.

4657224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 111 counting only the distinct ones).

The product of its digits is 13440, while the sum is 30.

The square root of 4657224 is about 2158.0602401231. The cubic root of 4657224 is about 166.9971433888.

The spelling of 4657224 in words is "four million, six hundred fifty-seven thousand, two hundred twenty-four".