4007712 has 48 divisors (see below), whose sum is σ = 10644480. Its totient is φ = 1320192.

The previous prime is 4007687. The next prime is 4007723. The reversal of 4007712 is 2177004.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10273 + ... + 10655.

It is an arithmetic number, because the mean of its divisors is an integer number (221760).

Almost surely, 2^4007712 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 4007712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5322240).

4007712 is an abundant number, since it is smaller than the sum of its proper divisors (6636768).

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

4007712 is a wasteful number, since it uses less digits than its factorization.

4007712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 21.

The square root of 4007712 is about 2001.9270715988. The cubic root of 4007712 is about 158.8420566783.

The spelling of 4007712 in words is "four million, seven thousand, seven hundred twelve".