4515078400 has 216 divisors, whose sum is σ = 12916117760. Its totient is φ = 1530593280.

The previous prime is 4515078371. The next prime is 4515078401. The reversal of 4515078400 is 48705154.

It is not an unprimeable number, because it can be changed into a prime (4515078401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4345081 + ... + 4346119.

Almost surely, 2^4515078400 is an apocalyptic number.

4515078400 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 4515078400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6458058880).

4515078400 is an abundant number, since it is smaller than the sum of its proper divisors (8401039360).

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

4515078400 is a wasteful number, since it uses less digits than its factorization.

4515078400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1169 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 34.

The square root of 4515078400 is about 67194.3330943912. Note that the first 3 decimals coincide. The cubic root of 4515078400 is about 1652.8055605297.

The spelling of 4515078400 in words is "four billion, five hundred fifteen million, seventy-eight thousand, four hundred".