4758 has 16 divisors (see below), whose sum is σ = 10416. Its totient is φ = 1440.

The previous prime is 4751. The next prime is 4759. The reversal of 4758 is 8574.

4758 is an undulating number in base 11.

It is a plaindrome in base 8.

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4751) by changing a digit.

4758 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48 + ... + 108.

It is an arithmetic number, because the mean of its divisors is an integer number (651).

2⁴⁷⁵⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4758, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5208).

4758 is an abundant number, since it is smaller than the sum of its proper divisors (5658).

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

4758 is a wasteful number, since it uses less digits than its factorization.

4758 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79.

The product of its digits is 1120, while the sum is 24.

The square root of 4758 is about 68.9782574439. The cubic root of 4758 is about 16.8193088649.

It can be divided in two parts, 47 and 58, that added together give a triangular number (105 = T₁₄).

The spelling of 4758 in words is "four thousand, seven hundred fifty-eight".