4658952 has 64 divisors (see below), whose sum is σ = 13003200. Its totient is φ = 1382400.

The previous prime is 4658947. The next prime is 4658957. The reversal of 4658952 is 2598564.

4658952 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4658947) and next prime (4658957).

It is a self number, because there is not a number n which added to its sum of digits gives 4658952.

It is not an unprimeable number, because it can be changed into a prime (4658957) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7452 + ... + 8052.

It is an arithmetic number, because the mean of its divisors is an integer number (203175).

Almost surely, 2^4658952 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 4658952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6501600).

4658952 is an abundant number, since it is smaller than the sum of its proper divisors (8344248).

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

4658952 is a wasteful number, since it uses less digits than its factorization.

4658952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 642 counting only the distinct ones).

The product of its digits is 86400, while the sum is 39.

The square root of 4658952 is about 2158.4605625306. The cubic root of 4658952 is about 167.0177948456.

The spelling of 4658952 in words is "four million, six hundred fifty-eight thousand, nine hundred fifty-two".