4129992 has 48 divisors (see below), whose sum is σ = 11778000. Its totient is φ = 1303776.

The previous prime is 4129987. The next prime is 4130003. The reversal of 4129992 is 2999214.

It is a super-3 number, since 3×4129992³ (a number of 21 digits) contains 333 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 142 + ... + 2877.

It is an arithmetic number, because the mean of its divisors is an integer number (245375).

Almost surely, 2^4129992 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 4129992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5889000).

4129992 is an abundant number, since it is smaller than the sum of its proper divisors (7648008).

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

4129992 is a wasteful number, since it uses less digits than its factorization.

4129992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3050 (or 3043 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 4129992 is about 2032.2381750179. The cubic root of 4129992 is about 160.4413854152.

It can be divided in two parts, 412 and 9992, that added together give a square (10404 = 102²).

The spelling of 4129992 in words is "four million, one hundred twenty-nine thousand, nine hundred ninety-two".