4199712 has 96 divisors (see below), whose sum is σ = 12446784. Its totient is φ = 1228800.

The previous prime is 4199711. The next prime is 4199747. The reversal of 4199712 is 2179914.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (33).

Its product of digits (4536) is a multiple of the sum of its prime factors (162).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4199711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43248 + ... + 43344.

It is an arithmetic number, because the mean of its divisors is an integer number (129654).

Almost surely, 2^4199712 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 4199712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6223392).

4199712 is an abundant number, since it is smaller than the sum of its proper divisors (8247072).

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

4199712 is a wasteful number, since it uses less digits than its factorization.

4199712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 154 counting only the distinct ones).

The product of its digits is 4536, while the sum is 33.

The square root of 4199712 is about 2049.3198871821. The cubic root of 4199712 is about 161.3391766813.

The spelling of 4199712 in words is "four million, one hundred ninety-nine thousand, seven hundred twelve".