4505712 has 80 divisors (see below), whose sum is σ = 12439680. Its totient is φ = 1403136.

The previous prime is 4505707. The next prime is 4505713. The reversal of 4505712 is 2175054.

It is a super-3 number, since 3×4505712³ (a number of 21 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4505713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76339 + ... + 76397.

It is an arithmetic number, because the mean of its divisors is an integer number (155496).

Almost surely, 2^4505712 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 4505712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6219840).

4505712 is an abundant number, since it is smaller than the sum of its proper divisors (7933968).

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

4505712 is a wasteful number, since it uses less digits than its factorization.

4505712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 24.

The square root of 4505712 is about 2122.6662479062. Note that the first 3 decimals coincide. The cubic root of 4505712 is about 165.1661870149.

The spelling of 4505712 in words is "four million, five hundred five thousand, seven hundred twelve".