4509819504 has 120 divisors (see below), whose sum is σ = 13145724592. Its totient is φ = 1496724480.

The previous prime is 4509819451. The next prime is 4509819511. The reversal of 4509819504 is 4059189054.

4509819504 is a `hidden beast` number, since 4 + 50 + 98 + 1 + 9 + 504 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 4509819504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 934602 + ... + 939414.

Almost surely, 2^4509819504 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 4509819504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6572862296).

4509819504 is an abundant number, since it is smaller than the sum of its proper divisors (8635905088).

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

4509819504 is a wasteful number, since it uses less digits than its factorization.

4509819504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5077 (or 5059 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The square root of 4509819504 is about 67155.1897026581. The cubic root of 4509819504 is about 1652.1636145447.

The spelling of 4509819504 in words is "four billion, five hundred nine million, eight hundred nineteen thousand, five hundred four".