4158792 has 96 divisors (see below), whose sum is σ = 12636000. Its totient is φ = 1224960.

The previous prime is 4158779. The next prime is 4158809. The reversal of 4158792 is 2978514.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46684 + ... + 46772.

It is an arithmetic number, because the mean of its divisors is an integer number (131625).

Almost surely, 2^4158792 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 4158792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6318000).

4158792 is an abundant number, since it is smaller than the sum of its proper divisors (8477208).

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

4158792 is a wasteful number, since it uses less digits than its factorization.

4158792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 164 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 4158792 is about 2039.3116485716. The cubic root of 4158792 is about 160.8134614111.

It can be divided in two parts, 4158 and 792, that added together give a triangular number (4950 = T₉₉).

The spelling of 4158792 in words is "four million, one hundred fifty-eight thousand, seven hundred ninety-two".