4523504000 has 128 divisors (see below), whose sum is σ = 11299111200. Its totient is φ = 1800960000.

The previous prime is 4523503993. The next prime is 4523504077. The reversal of 4523504000 is 4053254.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4303475 + ... + 4304525.

Almost surely, 2^4523504000 is an apocalyptic number.

4523504000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4523504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5649555600).

4523504000 is an abundant number, since it is smaller than the sum of its proper divisors (6775607200).

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

4523504000 is a wasteful number, since it uses less digits than its factorization.

4523504000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1349 (or 1327 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 23.

The square root of 4523504000 is about 67256.9996357256. Note that the first 3 decimals coincide. The cubic root of 4523504000 is about 1653.8330233180.

Adding to 4523504000 its reverse (4053254), we get a palindrome (4527557254).

The spelling of 4523504000 in words is "four billion, five hundred twenty-three million, five hundred four thousand".