4643712 has 96 divisors (see below), whose sum is σ = 13923000. Its totient is φ = 1483776.

The previous prime is 4643711. The next prime is 4643719. The reversal of 4643712 is 2173464.

4643712 is a `hidden beast` number, since 4 + 643 + 7 + 12 = 666.

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

It is a super-2 number, since 2×4643712² = 43128122277888, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4643711) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33339 + ... + 33477.

Almost surely, 2^4643712 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 4643712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6961500).

4643712 is an abundant number, since it is smaller than the sum of its proper divisors (9279288).

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

4643712 is a wasteful number, since it uses less digits than its factorization.

4643712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 173 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 4643712 is about 2154.9273769666. The cubic root of 4643712 is about 166.8354840575.

The spelling of 4643712 in words is "four million, six hundred forty-three thousand, seven hundred twelve".