4129792 has 44 divisors (see below), whose sum is σ = 8556460. Its totient is φ = 1990656.

The previous prime is 4129787. The next prime is 4129799. The reversal of 4129792 is 2979214.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3326976 + 802816 = 1824^2 + 896^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4129799) 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 3 ways as a sum of consecutive naturals, for example, 37834 + ... + 37942.

It is an arithmetic number, because the mean of its divisors is an integer number (194465).

Almost surely, 2^4129792 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 4129792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4278230).

4129792 is an abundant number, since it is smaller than the sum of its proper divisors (4426668).

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

4129792 is a wasteful number, since it uses less digits than its factorization.

4129792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 148 counting only the distinct ones).

The product of its digits is 9072, while the sum is 34.

The square root of 4129792 is about 2032.1889675914. The cubic root of 4129792 is about 160.4387955155.

It can be divided in two parts, 412 and 9792, that multiplied together give a palindrome (4034304).

The spelling of 4129792 in words is "four million, one hundred twenty-nine thousand, seven hundred ninety-two".