4658960 has 20 divisors (see below), whose sum is σ = 10832268. Its totient is φ = 1863552.

The previous prime is 4658957. The next prime is 4658963. The reversal of 4658960 is 698564.

4658960 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 (4658957) and next prime (4658963).

It can be written as a sum of positive squares in 2 ways, for example, as 2676496 + 1982464 = 1636^2 + 1408^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4658963) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 29039 + ... + 29198.

Almost surely, 2^4658960 is an apocalyptic number.

4658960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4658960 is an abundant number, since it is smaller than the sum of its proper divisors (6173308).

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

4658960 is a wasteful number, since it uses less digits than its factorization.

4658960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58250 (or 58244 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 38.

The square root of 4658960 is about 2158.4624157024. The cubic root of 4658960 is about 167.0178904424.

The spelling of 4658960 in words is "four million, six hundred fifty-eight thousand, nine hundred sixty".