4504864 has 108 divisors (see below), whose sum is σ = 11828754. Its totient is φ = 1677312.

The previous prime is 4504853. The next prime is 4504873. The reversal of 4504864 is 4684054.

It can be written as a sum of positive squares in 3 ways, for example, as 2917264 + 1587600 = 1708^2 + 1260^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 264984 + ... + 265000.

Almost surely, 2^4504864 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 4504864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5914377).

4504864 is an abundant number, since it is smaller than the sum of its proper divisors (7323890).

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

4504864 is a wasteful number, since it uses less digits than its factorization.

4504864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

The square root of 4504864 is about 2122.4664897237. The cubic root of 4504864 is about 165.1558246338.

The spelling of 4504864 in words is "four million, five hundred four thousand, eight hundred sixty-four".