4515530400 has 216 divisors, whose sum is σ = 15978719484. Its totient is φ = 1199923200.

The previous prime is 4515530399. The next prime is 4515530419. The reversal of 4515530400 is 40355154.

It can be written as a sum of positive squares in 6 ways, for example, as 97535376 + 4417995024 = 9876^2 + 66468^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2425470 + ... + 2427330.

Almost surely, 2^4515530400 is an apocalyptic number.

4515530400 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 4515530400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7989359742).

4515530400 is an abundant number, since it is smaller than the sum of its proper divisors (11463189084).

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

4515530400 is a wasteful number, since it uses less digits than its factorization.

4515530400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2224 (or 2208 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 4515530400 is about 67197.6963890876. The cubic root of 4515530400 is about 1652.8607122619.

Adding to 4515530400 its reverse (40355154), we get a palindrome (4555885554).

The spelling of 4515530400 in words is "four billion, five hundred fifteen million, five hundred thirty thousand, four hundred".