4205992 has 64 divisors (see below), whose sum is σ = 9792000. Its totient is φ = 1653696.

The previous prime is 4205989. The next prime is 4206019. The reversal of 4205992 is 2995024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62743 + ... + 62809.

It is an arithmetic number, because the mean of its divisors is an integer number (153000).

Almost surely, 2^4205992 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 4205992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4896000).

4205992 is an abundant number, since it is smaller than the sum of its proper divisors (5586008).

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

4205992 is a wasteful number, since it uses less digits than its factorization.

4205992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 4205992 is about 2050.8515304624. The cubic root of 4205992 is about 161.4195556388.

The spelling of 4205992 in words is "four million, two hundred five thousand, nine hundred ninety-two".